Tetsu Shimomura

Last Updated :2023/11/02

Affiliations, Positions
Graduate School of Humanities and Social Sciences, Professor
E-mail
tshimohiroshima-u.ac.jp

Basic Information

Academic Degrees

  • Doctor of Philosophy, Hiroshima University
  • Master, Hiroshima University

Research Fields

  • Mathematical and physical sciences;Mathematics;Basic analysis

Research Keywords

  • Sobolev functions

Educational Activity

Course in Charge

  1. 2023, Liberal Arts Education Program1, 1Term, CalculusI
  2. 2023, Undergraduate Education, 1Term, Computer Practice
  3. 2023, Undergraduate Education, 2Term, Computer Practice
  4. 2023, Undergraduate Education, 2Term, Research Methods in Analysis I
  5. 2023, Undergraduate Education, 4Term, Study of Instructional Materials in Analysis
  6. 2023, Undergraduate Education, Second Semester, Graduation Thesis
  7. 2023, Undergraduate Education, First Semester, Study of Instructional Materials in Analysis Education
  8. 2023, Undergraduate Education, Second Semester, Practical Seminar for the Teaching Profession
  9. 2023, Graduate Education (Doctoral Program) , 1Term, Research into Curriculum and Instruction Sciences (Specialization in Mathematics Education)
  10. 2023, Graduate Education (Doctoral Program) , 3Term, Research into Curriculum and Instruction Sciences (Specialization in Mathematics Education)
  11. 2023, Graduate Education (Master's Program) , First Semester, Special Study in Mathematics Education A
  12. 2023, Graduate Education (Master's Program) , Second Semester, Special Study in Mathematics Education A
  13. 2023, Graduate Education (Master's Program) , 3Term, Basic Course in Teaching Material Design for Science and Culture (Mathematics) b
  14. 2023, Graduate Education (Doctoral Program) , First Semester, Special Study
  15. 2023, Graduate Education (Doctoral Program) , Second Semester, Special Study

Research Activities

Academic Papers

  1. BOUNDEDNESS OF INTEGRAL OPERATORS OF DOUBLE PHASE, MATHEMATICAL INEQUALITIES & APPLICATIONS, 26(3), 703-716, 202307
    Link to Paper Search Results by DOI
  2. Trudinger's inequality for Riesz potentials on Musielak-Orlicz spaces over metric measure spaces, COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 68(10), 1694-1714, 20231003
    Link to Paper Search Results by DOI
  3. Sobolev's inequality in Musielak-Orlicz-Morrey spaces of an integral form, MATHEMATISCHE NACHRICHTEN, 296(9), 4152-4168, 202309
    Link to Paper Search Results by DOI
  4. Hardy-Sobolev inequalities for double phase functionals, HOKKAIDO MATHEMATICAL JOURNAL, 52(2), 331-352, 202306
    Link to Paper Search Results by DOI
  5. ★, Sobolev's Inequality for Musielak-Orlicz-Sobolev Functions, RESULTS IN MATHEMATICS, 78(3), 202306
    Link to Paper Search Results by DOI
  6. ★, Hardy-Littlewood-Sobolev Theorem for Variable Riesz Potentials, RESULTS IN MATHEMATICS, 78(3), 202306
    Link to Paper Search Results by DOI
  7. Trudinger's Inequality on Musielak-Orlicz-Morrey Spaces Over Non-doubling Metric Measure Spaces, MEDITERRANEAN JOURNAL OF MATHEMATICS, 20(3), 202306
    Link to Paper Search Results by DOI
  8. Generalized fractional maximal operators on Musielak-Orlicz-Morrey spaces, POSITIVITY, 27(2), 202304
    Link to Paper Search Results by DOI
  9. RIESZ POTENTIALS AND SOBOLEV-TYPE INEQUALITIES IN ORLICZ-MORREY SPACES OF AN INTEGRAL FORM, CZECHOSLOVAK MATHEMATICAL JOURNAL, 73(1), 263-276, 202303
    Link to Paper Search Results by DOI
  10. Sobolev-Type Inequalities on Musielak-Orlicz-Morrey Spaces of an Integral Form, BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 46(1), 202301
    Link to Paper Search Results by DOI
  11. Trudinger-type inequalities in Musielak-Orlicz spaces, HOUSTON JOURNAL OF MATHEMATICS, 48, 479-497, 2022
  12. Sobolev and Trudinger inequalities in weighted Morrey spaces for double phase functionals, ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 41(3-4), 439-466, 2022
    Link to Paper Search Results by DOI
  13. Generalized fractional integral operators on variable exponent Morrey type spaces over metric measure spaces, PORTUGALIAE MATHEMATICA, 79(3-4), 265-282, 2022
    Link to Paper Search Results by DOI
  14. Compact embeddings for Sobolev spaces of two variable exponents, COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 67(12), 3009-3022, 20221202
    Link to Paper Search Results by DOI
  15. HARDY-SOBOLEV INEQUALITY IN HERZ SPACES, TOHOKU MATHEMATICAL JOURNAL, 74(2), 287-300, 2022
    Link to Paper Search Results by DOI
  16. GENERALIZED FRACTIONAL INTEGRAL OPERATORS ON VARIABLE EXPONENT MORREY SPACES OF AN INTEGRAL FORM, ACTA MATHEMATICA HUNGARICA, 167(1), 201-214, 202206
    Link to Paper Search Results by DOI
  17. ★, Boundedness of fractional integral operators in Herz spaces on the hyperplane, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 45(14), 8631-8654, 20220930
    Link to Paper Search Results by DOI
  18. On Sobolev-type Inequalities on Morrey Spaces of an Integral Form, TAIWANESE JOURNAL OF MATHEMATICS, 26(4), 831-845, 202208
    Link to Paper Search Results by DOI
  19. HARDY AND SOBOLEV INEQUALITIES FOR DOUBLE PHASE FUNCTIONALS ON THE UNIT BALL, MATHEMATICAL INEQUALITIES & APPLICATIONS, 25(2), 319-333, 202204
    Link to Paper Search Results by DOI
  20. Sobolev-type inequalities on variable exponent Morrey spaces of an integral form, RICERCHE DI MATEMATICA, 71(1), 189-204, 202206
    Link to Paper Search Results by DOI
  21. Maximal and Riesz Potential Operators in Double Phase Lorentz Spaces of Variable Exponents, MATHEMATICAL NOTES, 111(5-6), 729-735, 202206
    Link to Paper Search Results by DOI
  22. Sobolev's inequality in central Herz-Morrey-Musielak-Orlicz spaces over metric measure spaces, COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 67(5), 1154-1185, 20220504
    Link to Paper Search Results by DOI
  23. HARDY-SOBOLEV INEQUALITIES IN THE HALF-SPACE FOR DOUBLE PHASE FUNCTIONALS, ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 51(6), 2159-2169, 202112
    Link to Paper Search Results by DOI
  24. Hardy-Sobolev inequality for Sobolev functions in central Herz-Morrey spaces, MATHEMATISCHE NACHRICHTEN, 294(6), 1148-1159, 202106
    Link to Paper Search Results by DOI
  25. Nonhomogeneous central Morrey-type spaces in L-P(.) and weak estimates for the maximal and Riesz potential operators, KYOTO JOURNAL OF MATHEMATICS, 62(1), 133-150, 202204
    Link to Paper Search Results by DOI
  26. TRUDINGER-TYPE INEQUALITIES ON MUSIELAK-ORLICZ-MORREY SPACES OF AN INTEGRAL FORM, MATHEMATICA SCANDINAVICA, 128(1), 78-108, 2022
    Link to Paper Search Results by DOI
  27. CONTINUITY OF GENERALIZED RIESZ POTENTIALS FOR DOUBLE PHASE FUNCTIONALS WITH VARIABLE EXPONENTS, GLASNIK MATEMATICKI, 56(2), 329-341, 202112
  28. Hardy-Sobolev inequalities for Sobolev functions in central Herz-Morrey spaces on the unit ball, Ann. Fenn. Math., 46, 1031-1052, 20210802
  29. Sobolev embeddings in grand Morrey spaces, MATHEMATISCHE NACHRICHTEN, 294(12), 2367-2381, 202112
    Link to Paper Search Results by DOI
  30. BOUNDARY LIMITS OF MONOTONE SOBOLEV FUNCTIONS ON METRIC SPACES, OSAKA JOURNAL OF MATHEMATICS, 58(1), 135-147, 202101
  31. Weak Estimates for the Maximal and Riesz Potential Operators in Central Herz-Morrey Spaces on the Unit Ball, ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 40(2), 183-207, 2021
    Link to Paper Search Results by DOI
  32. Boundedness of maximal operator, Hardy operator and Sobolev's inequalities on non-homogeneous central Herz-Morrey-Musielak-Orlicz spaces, HIROSHIMA MATHEMATICAL JOURNAL, 51(1), 13-55, 202103
    Link to Paper Search Results by DOI
  33. HERZ-MORREY SPACES ON THE UNIT BALL WITH VARIABLE EXPONENT APPROACHING 1 AND DOUBLE PHASE FUNCTIONALS, NAGOYA MATHEMATICAL JOURNAL, 242, 1-34, 202106
    Link to Paper Search Results by DOI
  34. Trudinger's Inequality for Double Phase Functionals with Variable Exponents, CZECHOSLOVAK MATHEMATICAL JOURNAL, 71(2), 511-528, 202106
    Link to Paper Search Results by DOI
  35. SOBOLEV'S INEQUALITY FOR MUSIELAK-ORLICZ-MORREY SPACES OVER METRIC MEASURE SPACES, JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 110(3), 371-385, 202106
    Link to Paper Search Results by DOI
  36. Hardy-Sobolev inequalities in the unit ball for double phase functionals, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 501(1), 20210901
    Link to Paper Search Results by DOI
  37. Boundedness of fractional maximal operators for double phase functionals with variable exponents, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 501(1), 20210901
    Link to Paper Search Results by DOI
  38. THE DOUBLE OBSTACLE PROBLEM FORMUSIELAK-ORLICZ DIRICHLET ENERGY INTEGRAL ON METRIC MEASURE SPACES, TOHOKU MATHEMATICAL JOURNAL, 73(1), 119-136, 2021
    Link to Paper Search Results by DOI
  39. CONTINUITY OF GENERALIZED RIESZ POTENTIALS FOR DOUBLE PHASE FUNCTIONALS, MATHEMATICAL INEQUALITIES & APPLICATIONS, 24(3), 715-723, 202107
    Link to Paper Search Results by DOI
  40. On Trudinger-type Inequalities in Orlicz-Morrey Spaces of an Integral Form, CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 64(1), 75-90, 202103
    Link to Paper Search Results by DOI
  41. ★, Fractional Maximal Operator on Musielak-Orlicz Spaces Over Unbounded Quasi-Metric Measure Spaces, RESULTS IN MATHEMATICS, 76(4), 202112
    Link to Paper Search Results by DOI
  42. BOUNDARY GROWTH OF SOBOLEV FUNCTIONS FOR DOUBLE PHASE FUNCTIONALS, ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 45, 279-292, 2020
    Link to Paper Search Results by DOI
  43. SOBOLEV'S THEOREM FOR DOUBLE PHASE FUNCTIONALS, MATHEMATICAL INEQUALITIES & APPLICATIONS, 23(1), 17-33, 202001
    Link to Paper Search Results by DOI
  44. ★, Generalized Riesz potentials of functions in Morrey spaces L-(1,L-phi;kappa)(G) over non-doubling measure spaces, FORUM MATHEMATICUM, 32(2), 339-359, 202003
    Link to Paper Search Results by DOI
  45. Sobolev's Inequality for Riesz Potentials of Functions in Musielak-Orlicz-Morrey Spaces Over Non-doubling Metric Measure Spaces, CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 63(2), 287-303, 202006
    Link to Paper Search Results by DOI
  46. Campanato-Morrey spaces for the double phase functionals with variable exponents, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 197, 202008
    Link to Paper Search Results by DOI
  47. Hardy and Sobolev inequalities in the half space, ACTA MATHEMATICA HUNGARICA, 161(1), 230-244, 202006
    Link to Paper Search Results by DOI
  48. WEAK ESTIMATES FOR THE MAXIMAL AND RIESZ POTENTIAL OPERATORS ON NON-HOMOGENEOUS CENTRAL MORREY TYPE SPACES IN L-1 OVER METRIC MEASURE SPACES, ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 45, 1187-1207, 2020
    Link to Paper Search Results by DOI
  49. Growth properties for generalized Riesz potentials of functions satisfying Orlicz conditions, MATHEMATISCHE NACHRICHTEN, 293(6), 1156-1173, 202006
    Link to Paper Search Results by DOI
  50. Boundedness of the maximal and potential operators in Herz-Morrey type spaces, COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 65(9), 1575-1589, 20200901
    Link to Paper Search Results by DOI
  51. Predual spaces of generalized grand Morrey spaces over non-doubling measure spaces, GEORGIAN MATHEMATICAL JOURNAL, 27(3), 433-439, 202009
    Link to Paper Search Results by DOI
  52. GAGLIARDO-NIRENBERG INEQUALITY FOR GENERALIZED RIESZ POTENTIALS OF FUNCTIONS IN MUSIELAK-ORLICZ SPACES OVER QUASI-METRIC MEASURE SPACES, COLLOQUIUM MATHEMATICUM, 161(1), 51-66, 2020
    Link to Paper Search Results by DOI
  53. BOUNDARY LIMITS OF MONOTONE SOBOLEV FUNCTIONS FOR DOUBLE PHASE FUNCTIONALS, OSAKA JOURNAL OF MATHEMATICS, 57(4), 819-826, 202010
  54. BOUNDEDNESS OF MAXIMAL OPERATORS ON HERZ SPACES WITH RADIAL VARIABLE EXPONENT, TOHOKU MATHEMATICAL JOURNAL, 72(3), 335-348, 2020
  55. Campanato-Morrey spaces for the double phase functionals, REVISTA MATEMATICA COMPLUTENSE, 33(3), 817-834
  56. Duality of central Herz-Morrey-Musielak-Orlicz spaces of variable exponents, COLLECTANEA MATHEMATICA, 70(1), 117-151, 201901
    Link to Paper Search Results by DOI
  57. ★, Sobolev's inequality for double phase functionals with variable exponents, FORUM MATHEMATICUM, 31(2), 517-527, 201903
    Link to Paper Search Results by DOI
  58. OBSTACLE PROBLEM FOR MUSIELAK-ORLICZ DIRICHLET ENERGY INTEGRAL ON METRIC MEASURE SPACES, TOHOKU MATHEMATICAL JOURNAL, 71(1), 53-68, 2019
    Link to Paper Search Results by DOI
  59. BOUNDARY GROWTH OF GENERALIZED RIESZ POTENTIALS ON THE UNIT BALL IN THE VARIABLE SETTINGS, ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 44, 125-140, 2019
    Link to Paper Search Results by DOI
  60. Boundedness of Generalized Fractional Integral Operators on Orlicz Spaces Near L-1 Over Metric Measure Spaces, CZECHOSLOVAK MATHEMATICAL JOURNAL, 69(1), 207-223, 201903
    Link to Paper Search Results by DOI
  61. Lindelof theorems for monotone Sobolev functions in Orlicz spaces on uniform domains, MATHEMATISCHE NACHRICHTEN, 292(4), 793-804, 201904
    Link to Paper Search Results by DOI
  62. OPTIMAL ESTIMATES FOR THE FRACTIONAL HARDY OPERATOR ON VARIABLE EXPONENT LEBESGUE SPACES, MATHEMATICAL INEQUALITIES & APPLICATIONS, 22(2), 445-462, 201904
    Link to Paper Search Results by DOI
  63. ROUNDEDNESS OF GENERALIZED RIESZ POTENTIALS OF FUNCTIONS IN MORREY SPACES L-(1,L-phi:kappa) (G) OVER NON-DOUBLING MEASURE SPACES, MATHEMATICAL INEQUALITIES & APPLICATIONS, 22(2), 577-599, 201904
    Link to Paper Search Results by DOI
  64. MAXIMAL OPERATOR ON ORLICZ SPACES OF TWO VARIABLE EXPONENTS OVER UNBOUNDED QUASI-METRIC MEASURE SPACES, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 147(7), 2877-2885, 201907
    Link to Paper Search Results by DOI
  65. Weak estimates for the maximal and Riesz potential operators in non-homogeneous central Herz-Morrey spaces, COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 64(9), 1437-1456, 20190902
    Link to Paper Search Results by DOI
  66. Sobolev inequalities for Musielak-Orlicz spaces, MANUSCRIPTA MATHEMATICA, 155(1-2), 209-227, 201801
    Link to Paper Search Results by DOI
  67. SOBOLEV'S INEQUALITIES FOR HERZ-MORREY-ORLICZ SPACES ON THE HALF SPACE, MATHEMATICAL INEQUALITIES & APPLICATIONS, 21(2), 433-453, 201804
    Link to Paper Search Results by DOI
  68. A remark on modified Morrey spaces on metric measure spaces, HOKKAIDO MATHEMATICAL JOURNAL, 47(1), 1-15, 201802
  69. GROWTH PROPERTIES OF POTENTIALS IN CENTRAL MORREY-ORLICZ SPACES ON THE UNIT BALL, ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 43(1), 21-46, 2018
    Link to Paper Search Results by DOI
  70. VARIABLE EXPONENT WEIGHTED NORM INEQUALITY FOR GENERALIZED RIESZ POTENTIALS, ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 43(1), 563-577, 2018
    Link to Paper Search Results by DOI
  71. ★, Boundary Behavior of Monotone Sobolev Functions in Orlicz Spaces on John Domains in a Metric Space, JOURNAL OF GEOMETRIC ANALYSIS, 28(2), 1233-1244, 201804
    Link to Paper Search Results by DOI
  72. Generalized fractional integral operators on generalized Orlicz-Morrey spaces of the second kind over non-doubling metric measure spaces, GEORGIAN MATHEMATICAL JOURNAL, 25(2), 303-311, 201806
    Link to Paper Search Results by DOI
  73. Variable exponent weighted norm inequality for generalized Riesz potentials on the unit ball, COLLECTANEA MATHEMATICA, 69(3), 377-394, 201809
    Link to Paper Search Results by DOI
  74. Maximal and Riesz Potential Operators on Musielak-Orlicz Spaces Over Metric Measure Spaces, INTEGRAL EQUATIONS AND OPERATOR THEORY, 90(6), 201812
    Link to Paper Search Results by DOI
  75. Sobolev's inequality for Riesz potentials of functions in grand Musielak-Orlicz-Morrey spaces over nondoubling metric measure spaces, MATHEMATISCHE NACHRICHTEN, 291(10), 1547-1562, 201807
    Link to Paper Search Results by DOI
  76. Trudinger's inequality and continuity for Riesz potential of functions in Orlicz spaces of two variable exponents over nondoubling measure spaces, KYOTO JOURNAL OF MATHEMATICS, 57(1), 79-96, 201704
    Link to Paper Search Results by DOI
  77. Boundary limits of monotone Sobolev functions in Musielak-Orlicz spaces on uniform domains in a metric space, KYOTO JOURNAL OF MATHEMATICS, 57(1), 147-164, 201704
    Link to Paper Search Results by DOI
  78. Boundedness of the Generalized Fractional Integral Operators on Generalized Morrey Spaces over Metric Measure Spaces, ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 36(2), 159-190, 2017
    Link to Paper Search Results by DOI
  79. Generalized fractional integral operators over non-doubling metric measure spaces, INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 28(7), 534-546, 201707
    Link to Paper Search Results by DOI
  80. Growth properties near the origin for generalized Riesz potentials, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 454(1), 285-302, 2017
    Link to Paper Search Results by DOI
  81. Duality of Non-Homogeneous Central Herz-Morrey-Musielak-Orlicz Spaces, POTENTIAL ANALYSIS, 47(4), 447-460, 2017
    Link to Paper Search Results by DOI
  82. BOUNDEDNESS OF THE MAXIMAL OPERATOR ON MUSIELAK-ORLICZ-MORREY SPACES, TOHOKU MATHEMATICAL JOURNAL, 69(4), 483-495, 2017
  83. Growth properties for Riesz potentials of functions in weighted variable Lp(.) spaces, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 162, 49-75, 201710
    Link to Paper Search Results by DOI
  84. SOBOLEV INEQUALITIES FOR RIESZ POTENTIALS OF FUNCTIONS IN Lp(.) OVER NONDOUBLING MEASURE SPACES, BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 93(1), 128-136, 2016
    Link to Paper Search Results by DOI
  85. Boundedness of Generalized Fractional Integral Operators From the Morrey Space L-1,L-phi(X; mu) to the Campanato Space L-1,L-psi(X; mu) Over Non-doubling Measure Spaces, AZERBAIJAN JOURNAL OF MATHEMATICS, 6(2), 117-127, 201607
  86. SOME NORM INEQUALITIES IN MUSIELAK-ORLICZ SPACES, ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 41(2), 721-744, 2016
    Link to Paper Search Results by DOI
  87. Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces, CZECHOSLOVAK MATHEMATICAL JOURNAL, 66(2), 371-394, 2016
    Link to Paper Search Results by DOI
  88. Trudinger's inequality and continuity for Riesz potentials of functions in grand Musielak-Orlicz-Morrey spaces over nondoubling metric measure spaces, KYOTO JOURNAL OF MATHEMATICS, 56(3), 633-653, 201609
    Link to Paper Search Results by DOI
  89. Boundedness of Maximal Operators and Sobolev's Inequality on Non-Homogeneous Central Musielak-Orlicz-Morrey Spaces, MEDITERRANEAN JOURNAL OF MATHEMATICS, 13(5), 3341-3357, 201610
    Link to Paper Search Results by DOI
  90. Growth properties of Musielak-Orlicz integral means for Riesz potentials, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 112, 69-83, 201501
    Link to Paper Search Results by DOI
  91. Boundary limits of monotone Sobolev functions with variable exponent on uniform domains in a metric space, REVISTA MATEMATICA COMPLUTENSE, 28(1), 31-48, 201501
    Link to Paper Search Results by DOI
  92. SOBOLEV AND TRUDINGER TYPE INEQUALITIES ON GRAND MUSIELAK-ORLICZ-MORREY SPACES, ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 40(1), 403-426, 2015
    Link to Paper Search Results by DOI
  93. Musielak-Orlicz-Sobolev spaces on metric measure spaces, CZECHOSLOVAK MATHEMATICAL JOURNAL, 65(2), 435-474, 201506
    Link to Paper Search Results by DOI
  94. Weighted Morrey spaces of variable exponent and Riesz potentials, MATHEMATISCHE NACHRICHTEN, 288(8-9), 984-1002, 201506
    Link to Paper Search Results by DOI
  95. Boundedness of maximal operators and Sobolev's theorem for non-homogeneous central Morrey spaces of variable exponent, HOKKAIDO MATHEMATICAL JOURNAL, 44(2), 185-201, 201506
  96. Problem posing in the upper grades using computers, Mathematical Problem Posing, Springer-Verlag New York, 257-272, 2015
  97. Optimal estimates for the fractional Hardyoperator, STUDIA MATHEMATICA, 227(1), 1-19, 2015
    Link to Paper Search Results by DOI
  98. EXPONENTIAL INTEGRABILITY FOR LOGARITHMIC POTENTIALS OF FUNCTIONS IN GENERALIZED LEBESGUE SPACES L(log L)(q(.)) OVER NON-DOUBLING MEASURE SPACES, TAIWANESE JOURNAL OF MATHEMATICS, 19(6), 1795-1803, 201512
  99. Trudinger's inequality for Riesz potentials of functions in Musielak-Orlicz spaces, BULLETIN DES SCIENCES MATHEMATIQUES, 138(2), 225-235, 201403
    Link to Paper Search Results by DOI
  100. Trudinger's inequality and continuity for Riesz potentials of functions in Musielak-Orlicz-Morrey spaces on metric measure spaces, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 106, 1-17, 201409
    Link to Paper Search Results by DOI
  101. Sobolev embeddings for Riesz potentials of functions in grand Morrey spaces of variable exponents over non-doubling measure spaces, CZECHOSLOVAK MATHEMATICAL JOURNAL, 64(1), 209-228, 201403
    Link to Paper Search Results by DOI
  102. Sobolev embeddings for Riesz potentials of functions in Musielak-Orlicz-Morrey spaces over non-doubling measure spaces, INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 25(12), 976-991, 20141202
    Link to Paper Search Results by DOI
  103. Hardy's inequality in Musielak-Orlicz-Sobolev spaces, HIROSHIMA MATHEMATICAL JOURNAL, 44(2), 139-155, 201407
    Link to Paper Search Results by DOI
  104. SOBOLEV EMBEDDINGS FOR RIESZ POTENTIALS OF FUNCTIONS IN MORREY SPACES L-1,L-nu,L- beta 1,L-beta 2(R-n), MATHEMATICAL INEQUALITIES & APPLICATIONS, 17(4), 1399-1414, 201410
    Link to Paper Search Results by DOI
  105. Trudinger's Inequality and Continuity of Potentials on Musielak-Orlicz-Morrey Spaces, POTENTIAL ANALYSIS, 38(2), 515-535, 201302
    Link to Paper Search Results by DOI
  106. ★, Boundedness of maximal operators and Sobolev's inequality on Musielak-Orlicz-Morrey spaces, BULLETIN DES SCIENCES MATHEMATIQUES, 137(1), 76-96, 2013
    Link to Paper Search Results by DOI
  107. On the Boundary Limits of Monotone Sobolev Functions in Variable Exponent Orlicz Spaces, ACTA MATHEMATICA SINICA-ENGLISH SERIES, 29(3), 461-470, 201303
    Link to Paper Search Results by DOI
  108. Sobolev Embeddings for Generalized Riesz Potentials of Functions in Morrey Spaces L-(1,L-phi)(G) over Nondoubling Measure Spaces, JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013
    Link to Paper Search Results by DOI
  109. Littlewood-Paley theory for variable exponent Lebesgue spaces and Gagliardo-Nirenberg inequality for Riesz potentials, JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 65(2), 633-670, 201304
    Link to Paper Search Results by DOI
  110. Hardy Averaging Operator on Generalized Banach Function Spaces and Duality, ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 32(2), 233-255, 2013
    Link to Paper Search Results by DOI
  111. ★, Sobolev embeddings for Riesz potentials of functions in non-doubling Morrey spaces of variable exponents, COLLECTANEA MATHEMATICA, 64(3), 313-350, 201309
    Link to Paper Search Results by DOI
  112. Approximate identities and Young type inequalities in Musielak-Orlicz spaces, CZECHOSLOVAK MATHEMATICAL JOURNAL, 63(4), 933-948, 201312
    Link to Paper Search Results by DOI
  113. Sobolev's inequality for Riesz potentials of functions in generalized Morrey spaces with variable exponentattaining the value $1$ over non-doubling measure spaces, Journal of Inequalities and Applications, 2013:12, 20130101
  114. Mean continuity for potentials of functions in Musielak-Orlicz spaces, RIMS K\^{o}ky\^{u}roku Bessatsu., B43, 81-100, 20130901
  115. Sobolev's inequality for Riesz potentials of functions in generalized Morrey spaces with variable exponent attaining the value 1 over non-doubling measure spaces, JOURNAL OF INEQUALITIES AND APPLICATIONS, 1-19, 2013
    Link to Paper Search Results by DOI
  116. LINDELOF THEOREMS FOR MONOTONE SOBOLEV FUNCTIONS IN ORLICZ SPACES, ILLINOIS JOURNAL OF MATHEMATICS, 57(4), 1025-1033, 2013
  117. Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in R-n, REVISTA MATEMATICA COMPLUTENSE, 25(2), 413-434, 201207
    Link to Paper Search Results by DOI
  118. A trace inequality of Riesz potentials in variable exponent Orlicz spaces, MATHEMATISCHE NACHRICHTEN, 285(11-12), 1466-1485, 201208
    Link to Paper Search Results by DOI
  119. Weighted Sobolev inequality in Musielak-Orlicz space, J. Math. Anal. Appl., 388, 86-97, 20120101
  120. Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Orlicz-Musielak spaces, Arch. Math., 98, 253-263, 20120301
  121. Weighted Sobolev inequality in Musielak-Orlicz space, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 388(1), 86-97, 20120401
    Link to Paper Search Results by DOI
  122. Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces, ARCHIV DER MATHEMATIK, 98(3), 253-263, 201203
    Link to Paper Search Results by DOI
  123. EXPONENTIAL INTEGRABILITY OF RIESZ POTENTIALS OF ORLICZ FUNCTIONS, ILLINOIS JOURNAL OF MATHEMATICS, 56(2), 507-520, 2012
  124. Iterated maximal functions in variable exponent Lebesgue spaces, MANUSCRIPTA MATHEMATICA, 135(3-4), 381-399, 201107
    Link to Paper Search Results by DOI
  125. Capacity for potentials of functions in Musielak-Orlicz spaces, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 74(17), 6231-6243, 201112
    Link to Paper Search Results by DOI
  126. Hardy's inequality in Orlicz-Sobolev spaces of variable exponent, HOKKAIDO MATHEMATICAL JOURNAL, 40(2), 187-203, 201106
    Link to Paper Search Results by DOI
  127. Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents, COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 56(7-9), 671-695, 2011
    Link to Paper Search Results by DOI
  128. ORLICZ-SOBOLEV CAPACITY OF BALLS, ILLINOIS JOURNAL OF MATHEMATICS, 55(2), 543-553, 2011
  129. Sobolev's inequality for Riesz potentials in Orlicz-Musielak spaces, Proceedings of the International Symposium on Banach and Function Spaces III (Kitakyushu, Japan, 2009), 409-419, 2011
  130. Sobolev embeddings for Riesz potential spaces of variable exponents near 1 and Sobolev's exponent, BULLETIN DES SCIENCES MATHEMATIQUES, 134(1), 12-36, 2010
    Link to Paper Search Results by DOI
  131. Integrability of maximal functions and Riesz potentials in Orlicz spaces of variable exponent, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 366(2), 391-417, 20100615
    Link to Paper Search Results by DOI
  132. COMPACT EMBEDDINGS FOR SOBOLEV SPACES OF VARIABLE EXPONENTS AND EXISTENCE OF SOLUTIONS FOR NONLINEAR ELLIPTIC PROBLEMS INVOLVING THE p(x)-LAPLACIAN AND ITS CRITICAL EXPONENT, ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 35(1), 115-130, 2010
    Link to Paper Search Results by DOI
  133. SOBOLEV INEQUALITIES FOR ORLICZ SPACES OF TWO VARIABLE EXPONENTS, GLASGOW MATHEMATICAL JOURNAL, 52, 227-240, 201005
    Link to Paper Search Results by DOI
  134. Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials, JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 62(3), 707-744, 201007
    Link to Paper Search Results by DOI
  135. Sobolev's inequality for Riesz potentials of functions in Morrey spaces of integral form, MATHEMATISCHE NACHRICHTEN, 283(9), 1336-1352, 201009
    Link to Paper Search Results by DOI
  136. CONTINUITY PROPERTIES FOR RIESZ POTENTIALS OF FUNCTIONS IN MORREY SPACES OF VARIABLE EXPONENT, MATHEMATICAL INEQUALITIES & APPLICATIONS, 13(1), 99-122, 201001
    Link to Paper Search Results by DOI
  137. WEIGHTED ORLICZ-RIESZ CAPACITY OF BALLS, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 138(12), 4291-4302, 201012
    Link to Paper Search Results by DOI
  138. Variable exponent spaces on metric measure spaces, More progresses in analysis (ISAAC-5, Catania, 2005, Begehr and Nicolosi (ed.)), 107-121, 2009
  139. Continuity properties of Riesz potentials of Orlicz functions, Tohoku Mathematical Journal, 61(2), 225-240, 20090601
  140. CONTINUITY PROPERTIES OF RIESZ POTENTIALS OF ORLICZ FUNCTIONS, TOHOKU MATHEMATICAL JOURNAL, 61(2), 225-240, 200906
    Link to Paper Search Results by DOI
  141. SOBOLEV'S INEQUALITY FOR RIESZ POTENTIALS OF FUNCTIONS IN NON-DOUBLING MORREY SPACES, OSAKA JOURNAL OF MATHEMATICS, 46(1), 255-271, 200903
    Link to Paper Search Results by DOI
  142. ★, MAXIMAL FUNCTIONS IN VARIABLE EXPONENT SPACES: LIMITING CASES OF THE EXPONENT, ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 34(2), 503-522, 2009
    Link to Paper Search Results by DOI
  143. Integrability of maximal functions in Orlicz spaces of variable exponent, 京都大学数理解析研究所講究録, 1669, 37-51, 2009
  144. Sobolev's inequality for Orlicz-Sobolev spaces of variable exponents, 京都大学数理解析研究所講究録, 1669, 91-102, 2009
  145. An elementary proof of Sobolev embeddings for Riesz potentials of functions in Morrey spaces $L^{1,\nu,\beta}(G)$, Hiroshima Math. J., 38(3), 425-436, 20081101
  146. Lindel\"of theorems for monotone Sobolev functions with variable exponent, Proc. Japan Acad. Ser. A Math. Sci., 84, 25-28, 20080201
  147. Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent, JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 60(2), 583-602, 200804
    Link to Paper Search Results by DOI
  148. Lindelof theorems for monotone Sobolev functions with variable exponent, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 84(2), 25-28, 200802
    Link to Paper Search Results by DOI
  149. Integrability of maximal functions for generalized Lebesgue spaces with variable exponent, MATHEMATISCHE NACHRICHTEN, 281(3), 386-395, 2008
    Link to Paper Search Results by DOI
  150. Sobolev's inequalities and vanishing integrability for Riesz potentials of functions in the generalized Lebesgue space Lp(.)log L)q(.), JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 345(1), 70-85, 20080901
    Link to Paper Search Results by DOI
  151. Continuity properties and vanishing exponential integrability of Riesz potentials of Orlicz functions, 1553, 137-148, 2007
  152. Vanishing exponential integrability for Riesz potentials of functions in Orlicz classes, ILLINOIS JOURNAL OF MATHEMATICS, 51(4), 1039-1060, 2007
    Link to Paper Search Results by DOI
  153. ★, Sobolev embeddings for Riesz potential space of variable exponent on metric spaces, Ann. Acad. Sci. Fenn. Math., 31, 495-522, 20060601
  154. Sobolev embeddings for Riesz potential space of variable exponent, Math. Nachr., 279, 1463-1473, 20060401
  155. Sobolev embeddings for variable exponent Riesz potentials on metric spaces {\bf 31} (2006),, Ann. Acad. Sci. Fenn. Math., 31, 495-522, 20060401
  156. Sobolev embedding theorems for variable exponent Riesz potentials, 22, 21-30, 20060401
  157. Numerical computation of cross-coupled algebraic Riccati equations related to H(2)/H(infinity) control problem for singularly perturbed systems, INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 14(8), 697-717, 20040525
    Link to Paper Search Results by DOI
  158. Approach regions for modified Poisson integrals of boundary functions in Orlicz classes, Far East J. Math. Sci., 14, 137-153, 20040801
  159. Continuity of Sobolev functions of variable exponent on metric spaces, Proc.Japan Acad.Ser.A, 80(6), 96-99, 20040601
  160. Sobolev embeddings for Riesz potential space of variable exponent, 109-115, 20040801
  161. Minimally fine limits at infinity for p-precise functions, JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 56(1), 1-15, 200401
    Link to Paper Search Results by DOI
  162. Asymptotic Expansions of Solutions of Cross-coupled Algebraic Riccati Equations of Multimodeling Systems Related to Nash Games, Proceedings of the 3rd International DCDIS Conference on Engineering Applications and Computational Algorithms, 34-39, 20030501
  163. Growth properties for modified Poisson integrals in a half space, Pacific J. Math., 212, 333-346, 20031201
  164. On semi-fine limits at infinity for Riesz potentials and monotone BLD functions, POTENTIAL ANALYSIS, 19(4), 365-381, 200312
    Link to Paper Search Results by DOI
  165. Growth properties for modified Poisson integrals in a half space, PACIFIC JOURNAL OF MATHEMATICS, 212(2), 333-346, 200312
    Link to Paper Search Results by DOI
  166. Asymptotic expansions and a new numerical algorithm of the algebraic Riccati equation for multiparameter singularly perturbed systems, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 267(1), 209-234, 20020301
    Link to Paper Search Results by DOI
  167. Near-Optimal Control of Linear Multiparameter Singularly Perturbed Systems, IEEE Transactions on Automatic Control, 47(12), 2051-2057, 20021201
  168. Numerical Algorithm for Solving Cross-Coupled Algebraic Riccati Equations Related to Nash Games of Multimodeling Systems, Proceedings of the 41th IEEE Conference on Decision and Control (CDC), 4167-4172, 20021201
  169. Lindel\"{o}f type theorems for monotone Sobolev functions on half spaces, 1293, 18-26, 20021101
  170. Riesz decomposition and limits at infinity for $p$-precise on a half space, 1293, 98-109, 20021101
  171. Growth properties for modified Poisson integrals in a half space, Proceedings of the Workshop on Real and Complex Analysis= Hiroshima University, 110-123, 20021201
  172. Continuity and differentiability for weighted Sobolev spaces, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 130(10), 2985-2994, 2002
    Link to Paper Search Results by DOI
  173. Growth properties of hyperplane integrals of Sobolev functions in a half space, Osaka J. Math., 38, 759-773, 20011201
  174. Minimally fine limits at infinity for $p$-precice functions, Proceedings of the Workshop on Real and Complex Analysis= Hiroshima University, 61-77, 20011001
  175. Growth properties of spherical means for monotone BLD functions in the unit ball, Ann. Acad. Sci. Fenn. Math., 25, 457-465, 20000401
  176. Monotone BLD functions and fine properties, Proceedings of the Workshop on Real and Complex Analysis= Hiroshima University, 50-66, 20000401
  177. Hyperplane integrals of BLD and monotone BLD functions, 1116, 51-68, 19990401
  178. Boundary limits of spherical means for BLD and monotone BLD functions in the unit ball, Ann. Acad. Sci. Fenn. Math., 24, 45-60, 19990401
  179. Exponential integrability for Riesz potentials of functions in Orlicz classes, Hiroshima Math. J., 28, 19980401
  180. Continuity properties and exponential integrability for Riesz potentials of functions in Orlicz classes, 1016, 94-111, 19970401
  181. H\"{o}lder continuity of Riesz potentials of functions in Orlicz classes, 161-172, 19960401
  182. Taylor expansion of Riesz potentials, Hiroshima Math. J., 25, 595-621, 19951101
  183. Integrability of maximal functions for generalized Lebesgue spaces $L^{p(\cdot)}(\log L)^{q(\cdot)}$, Proceedings of the Conference on Potential Theory and Stochastics in Albac: Aurel Cornea Memorial Volume, 193-202, 2009

Invited Lecture, Oral Presentation, Poster Presentation

  1. Boundary behavior of monotone Sobolev functions on John domains, 2017/10/07, With Invitation, Japanese
  2. Sobolev inequalities for Musielak-Orlicz spaces, 下村哲, Nonstandard growth phenomena 2017, 2017/08/31, Without Invitation, Japanese
  3. Sobolev inequalities for variable exponent Orlicz spaces, 2010/08/02, With Invitation, Japanese

External Funds

Acceptance Results of Competitive Funds

  1. KAKENHI, 2015, 2017
    Permalink
  2. KAKENHI, 2012, 2014
    Permalink
  3. KAKENHI, Study on the problem posing activity in the mathematics education, 2009, 2011
    Permalink
  4. KAKENHI, Potential theoretic study of elliptic partial differential equations, 2009, 2011
    Permalink
  5. KAKENHI, Research on potential problems from various aspects, 2008, 2012
    Permalink
  6. KAKENHI, Potential theoretical research for nonlinear partial differential equations, 2008, 2011
    Permalink
  7. KAKENHI, Potential theoretic study of Sobolev functions, 2007, 2008
    Permalink
  8. KAKENHI, Study on the design of broadening mathematical thinking in the mathematics education, 2006, 2008
    Permalink
  9. KAKENHI, Analyses of function spaces of solutions of a parabolic equation and operators on these spaces, 2006, 2008
    Permalink
  10. KAKENHI, 2005, 2007
    Permalink
  11. KAKENHI, New development of geometric function theory focused on conformal invariants, 2005, 2008
    Permalink
  12. KAKENHI, 2004, 2005
    Permalink
  13. KAKENHI, Potential Analysis for Sobolev functions, 2002, 2005
    Permalink
  14. KAKENHI, Study of integral operators on function spaces., 2002, 2003
    Permalink
  15. KAKENHI, Potential the Oretic study on quasi-regular mappings, 1998, 1999
    Permalink
  16. KAKENHI(Grant-in-Aid for Scientific Research (C)), 2018, 2020

Social Activities

Organizing Academic Conferences, etc.

  1. Nonstandard growth phenomena 2017, 2017/, 2017/
  2. 調和解析とポテンシャル論, 2015/, 2015/
  3. The 19th International Conference on Finite or Infinite Dimensional complex Analysis and Applications, 2011/
  4. International Workshop on Potential Theory in Hokkaido 2009, 2009/, 2009/
  5. FSDONA (Function Spaces, Differential Operators and Nonlinear Analysis)-Workshop, 2008/, 2008/
  6. 2007/, 2007/