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Mizuta, Yoshihiro

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Author ID: mizuta.yoshihiro Recent zbMATH articles by "Mizuta, Yoshihiro"
Published as: Mizuta, Yoshihiro; Mizuta, Y.
Homepage: http://www.mis.hiroshima-u.ac.jp/~mizuta/
External Links: Math-Net.Ru · ORCID · dblp
Documents Indexed: 189 Publications since 1974, including 2 Books
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Serials

44 Hiroshima Mathematical Journal
14 Journal of the Mathematical Society of Japan
13 Annales Academiae Scientiarum Fennicae. Mathematica
9 Journal of Mathematical Analysis and Applications
7 Mathematische Nachrichten
6 Potential Analysis
6 Mathematical Inequalities & Applications
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 RIMS Kokyuroku
5 Complex Variables and Elliptic Equations
4 Hokkaido Mathematical Journal
4 Proceedings of the American Mathematical Society
3 Illinois Journal of Mathematics
3 Nagoya Mathematical Journal
3 Osaka Journal of Mathematics
3 Analysis
2 Annales de l’Institut Fourier
2 Collectanea Mathematica
2 Czechoslovak Mathematical Journal
2 Journal of the London Mathematical Society. Second Series
2 Manuscripta Mathematica
2 Proceedings of the Japan Academy. Series A
2 Tohoku Mathematical Journal. Second Series
2 Zeitschrift für Analysis und ihre Anwendungen
2 Complex Variables. Theory and Application
2 Advances in Mathematical Sciences and Applications
2 Bulletin des Sciences Mathématiques
2 Revista Matemática Complutense
2 RIMS Kôkyûroku Bessatsu
1 Revue Roumaine de Mathématiques Pures et Appliquées
1 Studia Mathematica
1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
1 Archiv der Mathematik
1 Glasgow Mathematical Journal
1 Kodai Mathematical Journal
1 Mathematica Scandinavica
1 Pacific Journal of Mathematics
1 Studia Scientiarum Mathematicarum Hungarica
1 Acta Mathematica Hungarica
1 Questions and Answers in General Topology
1 Forum Mathematicum
1 Communications in Numerical Methods in Engineering
1 Filomat
1 Analysis (München)
1 Far East Journal of Mathematical Sciences
1 Advanced Studies in Pure Mathematics
1 GAKUTO International Series. Mathematical Sciences and Applications

Publications by Year

Citations contained in zbMATH Open

130 Publications have been cited 829 times in 307 Documents Cited by Year
Boundedness of maximal operators and Sobolev’s inequality on Musielak-Orlicz-Morrey spaces. Zbl 1267.46045
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
52
2013
Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent. Zbl 1161.46305
Mizuta, Yoshihiro; Shimomura, Tetsu
39
2008
Sobolev embeddings for variable exponent Riesz potentials on metric spaces. Zbl 1100.31002
Futamura, Toshihide; Mizuta, Yoshihiro; Shimomura, Tetsu
35
2006
Sobolev’s inequalities and vanishing integrability for Riesz potentials of functions in the generalized Lebesgue space \(L^{p(\cdot)}(\log L)^{q(\cdot)}\). Zbl 1153.31002
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
28
2008
Potential theory in Euclidean spaces. Zbl 0849.31001
Mizuta, Yoshihiro
27
1995
Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials. Zbl 1200.26007
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
26
2010
Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents. Zbl 1228.31004
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
23
2011
Continuity properties of potentials and Beppo-Levi-Deny functions. Zbl 0782.31004
Mizuta, Yoshihiro
16
1993
Approximate identities and Young type inequalities in Musielak-Orlicz spaces. Zbl 1313.46041
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
16
2013
Continuity properties of Riesz potentials for function in \(L^{p(.)}\) of variable exponent. Zbl 1087.31004
Futamura, Toshihide; Mizuta, Yoshihiro
15
2005
Continuity properties of Riesz potentials of Orlicz functions. Zbl 1181.46026
Mizuta, Yoshihiro; Shimomura, Tetsu
14
2009
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. Zbl 1202.46034
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu; Shioji, Naoki
14
2010
Differentiability and Hölder continuity of Riesz potentials of Orlicz functions. Zbl 0955.31002
Mizuta, Yoshihiro; Shimomura, Tetsu
14
2000
Sobolev embeddings for Riesz potential space of variable exponent. Zbl 1109.31004
Futamura, Toshihide; Mizuta, Yoshihiro; Shimomura, Tetsu
14
2006
Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in \(\mathbb{R}^n\). Zbl 1273.31005
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
14
2012
Continuity properties for Riesz potentials of functions in Morrey spaces of variable exponent. Zbl 1184.31005
Mizuta, Yoshihiro; Shimomura, Tetsu
13
2010
Approximate identities and Young type inequalities in variable Lebesgue-Orlicz spaces \(L^{p(\cdot)}(\log L)^{q(\cdot)}\). Zbl 1216.46025
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao
13
2010
Integrability of maximal functions and Riesz potentials in Orlicz spaces of variable exponent. Zbl 1193.46016
Futamura, Toshihide; Mizuta, Yoshihiro; Shimomura, Tetsu
12
2010
Sobolev’s theorem and duality for Herz-Morrey spaces of variable exponent. Zbl 1288.31010
Mizuta, Yoshihiro; Ohno, Takao
12
2014
Sobolev’s inequality for Riesz potentials of functions in non-doubling Morrey spaces. Zbl 1186.31003
Mizuta, Yoshihiro; Shimomura, Tetsu; Sobukawa, Takuya
12
2009
Sobolev inequalities for Orlicz spaces of two variable exponents. Zbl 1206.46035
Hästö, Peter; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
11
2010
Sobolev’s inequality for double phase functionals with variable exponents. Zbl 1423.46049
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
11
2019
An elementary proof of Sobolev embeddings for Riesz potentials of functions in Morrey spaces \(L^{1,\nu,\beta}(G)\). Zbl 1175.31005
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
11
2008
Tangential limits of monotone Sobolev functions. Zbl 0852.31008
Mizuta, Yoshihiro
10
1995
Integral representations, differentiability properties and limits at infinity for Beppo Levi functions. Zbl 0885.31004
Mizuta, Yoshihiro
10
1997
Crack edge element of three-dimensional displacement discontinuity method with boundary division into triangular leaf elements. Zbl 1052.74586
Li, H.; Liu, C. L.; Mizuta, Y.; Kayupov, M. A.
10
2001
On the boundary limits of harmonic functions with gradient in \(L^p\). Zbl 0522.31009
Mizuta, Yoshihiro
10
1984
Continuity of Sobolev functions of variable exponent on metric spaces. Zbl 1072.46506
Mizuta, Yoshihiro; Shimomura, Tetsu
10
2004
Exponential integrability for Riesz potentials of functions in Orlicz classes. Zbl 0917.31004
Mizuta, Yoshihiro; Shimomura, Tetsu
9
1998
Boundary limits of spherical means for BLD and monotone BLD functions in the unit ball. Zbl 0926.31003
Mizuta, Yoshihiro; Shimomura, Tetsu
9
1999
Maximal functions for Lebesgue spaces with variable exponent approaching 1. Zbl 1111.46019
Futamura, Toshihide; Mizuta, Yoshihiro
9
2006
Sobolev embeddings for Riesz potential spaces of variable exponents near 1 and Sobolev’s exponent. Zbl 1192.46027
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
8
2010
Taylor expansion of Riesz potentials. Zbl 0863.31005
Shimomura, Tetsu; Mizuta, Yoshihiro
8
1995
Integrability of maximal functions for generalized Lebesgue spaces with variable exponent. Zbl 1143.46010
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
8
2008
A generalization of Bôcher’s theorem for polyharmonic functions. Zbl 1013.31005
Futamura, Toshihide; Kishi, Kyoko; Mizuta, Yoshihiro
8
2001
Continuity properties of Riesz potentials and boundary limits of Beppo Levi functions. Zbl 0698.31004
Mizuta, Yoshihiro
8
1988
Herz-Morrey spaces of variable exponent, Riesz potential operator and duality. Zbl 1312.31013
Mizuta, Yoshihiro; Ohno, Takao
8
2015
Sobolev’s inequality for Riesz potentials with variable exponent satisfying a log-Hölder condition at infinity. Zbl 1085.31005
Mizuta, Yoshihiro; Shimomura, Tetsu
7
2005
Existence of various boundary limits of Beppo Levi functions of higher order. Zbl 0475.31004
Mizuta, Yoshihiro
7
1979
Trudinger’s inequality and continuity of potentials on Musielak-Orlicz-Morrey spaces. Zbl 1268.46024
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
7
2013
Growth properties of Musielak-Orlicz integral means for Riesz potentials. Zbl 1333.46030
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Shimomura, Tetsu
7
2015
Weighted Morrey spaces of variable exponent and Riesz potentials. Zbl 1318.31009
Mizuta, Yoshihiro; Shimomura, Tetsu
7
2015
Sobolev and Trudinger type inequalities on grand Musielak-Orlicz-Morrey spaces. Zbl 1327.31017
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
7
2015
Littlewood-Paley theory for variable exponent Lebesgue spaces and Gagliardo-Nirenberg inequality for Riesz potentials. Zbl 1269.31005
Mizuta, Yoshihiro; Nakai, Eiichi; Sawano, Yoshihiro; Shimomura, Tetsu
6
2013
Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces. Zbl 1246.46034
Mizuta, Yoshihiro; Nakai, Eiichi; Sawano, Yoshihiro; Shimomura, Tetsu
6
2012
Isolated singularities of super-polyharmonic functions. Zbl 1073.31005
Futamura, Toshihide; Mizuta, Yoshihiro
6
2004
Boundary behavior of monotone Sobolev functions on John domains in a metric space. Zbl 1074.31005
Futamura, Toshihide; Mizuta, Yoshihiro
6
2005
Sobolev inequalities for Musielak-Orlicz spaces. Zbl 1392.46037
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
6
2018
Vanishing exponential integrability for Riesz potentials of functions in Orlicz classes. Zbl 1152.31003
Mizuta, Yoshihiro; Shimomura, Tetsu
5
2007
Growth properties for modified Poisson integrals in a half space. Zbl 1056.31004
Mizuta, Yoshihiro; Shimomura, Tetsu
5
2004
Weighted Sobolev inequality in Musielak-Orlicz space. Zbl 1243.46020
Mizuta, Yoshihiro; Shimomura, Tetsu
5
2012
Boundedness of maximal operators and Sobolev’s theorem for non-homogeneous central Morrey spaces of variable exponent. Zbl 1334.31004
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
5
2015
Boundedness of the maximal operator and Sobolev’s inequality on non-homogeneous central Herz-Morrey-Orlicz spaces. Zbl 1325.31002
Mizuta, Yoshihiro; Ohno, Takao
5
2015
Trudinger’s exponential integrability for Riesz potentials of functions in generalized grand Morrey spaces. Zbl 1305.42017
Mizuta, Yoshihiro; Ohno, Takao
5
2014
Sobolev’s inequality for Riesz potentials of functions in Morrey spaces of integral form. Zbl 1211.46026
Mizuta, Yoshihiro; Shimomura, Tetsu
4
2010
Variable exponent weighted norm inequality for generalized Riesz potentials on the unit ball. Zbl 1405.46023
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Shimomura, Tetsu
4
2018
Continuity and differentiability for weighted Sobolev spaces. Zbl 1029.46032
Mizuta, Yoshihiro; Shimomura, Tetsu
4
2002
Integral representations of Beppo Levi functions of higher order. Zbl 0287.31005
Mizuta, Yoshihiro
4
1974
Removability of sets for sub-polyharmonic functions. Zbl 1041.31004
Futamura, Toshihide; Kishi, Kyoko; Mizuta, Yoshihiro
4
2003
Maximal functions, Riesz potentials and Sobolev’s inequality in generalized Lebesgue spaces. Zbl 1125.31001
Mizuta, Yoshihiro; Shimomura, Tetsu
4
2006
Growth properties of potentials in central Morrey-Orlicz spaces on the unit ball. Zbl 1396.31004
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
4
2018
Optimal estimates for the fractional Hardy operator. Zbl 1328.47049
Mizuta, Yoshihiro; Nekvinda, Aleš; Shimomura, Tetsu
4
2015
Sobolev’s theorem for Riesz potentials of functions in grand Morrey spaces of variable exponent. Zbl 1332.31007
Futamura, Toshihide; Mizuta, Yoshihiro; Ohno, Takao
4
2014
Duality of non-homogeneous central Herz-Morrey-Musielak-Orlicz spaces. Dedicated to Professor Hiroaki Aikawa on the occasion of his sixtieth birthday. Zbl 1387.46029
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
4
2017
Sobolev’s theorem for double phase functionals. Zbl 1453.46021
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
4
2020
Hardy averaging operator on generalized Banach function spaces and duality. Zbl 1286.47030
Mizuta, Yoshihiro; Nekvinda, Aleš; Shimomura, Tetsu
3
2013
Boundary limits of polyharmonic functions in Sobolev-Orlicz spaces. Zbl 0845.31002
Mizuta, Yoshihiro
3
1995
Hyperplane means of potentials. Zbl 0858.31007
Mizuta, Yoshihiro
3
1996
Lindelöf theorems for monotone Sobolev functions. Zbl 1035.31005
Futamura, Toshihide; Mizuta, Yoshihiro
3
2003
Growth properties of \(p\)-th hyperplane means of Green potentials in a half space. Zbl 0757.31003
Mizuta, Yoshihiro
3
1992
Spherical means of Beppo Levi functions. Zbl 0773.31005
Mizuta, Yoshihiro
3
1992
Integral representations of Beppo Levi functions and the existence of limits at infinity. Zbl 0702.31006
Mizuta, Yoshihiro
3
1989
Boundary behavior of p-precise functions on a half space of \(R^ n\). Zbl 0705.31004
Mizuta, Yoshihiro
3
1988
On the order at infinity of Riesz potentials. Zbl 0421.31005
Kurokawa, Takahide; Mizuta, Yoshihiro
3
1979
On the existence of limits along lines of Beppo Levi functions. Zbl 0604.31007
Mizuta, Yoshihiro
3
1986
Boundary limits of Green potentials of general order. Zbl 0659.31007
Mizuta, Yoshihiro
3
1987
On the boundary limits of harmonic functions. Zbl 0664.31007
Mizuta, Yoshihiro
3
1988
Hardy’s inequality in Musielak-Orlicz-Sobolev spaces. Zbl 1316.46030
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
3
2014
Mean continuity for potentials of functions in Musielak-Orlicz spaces. Zbl 1303.46022
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
3
2013
Orlicz-Sobolev capacity of balls. Zbl 1277.46016
Futamura, T.; Mizuta, Y.; Ohno, T.; Shimomura, T.
2
2011
Variable exponent spaces on metric measure spaces. Zbl 1189.46027
Futamura, Toshihide; Harjulehto, Petteri; Hästö, Peter; Mizuta, Yoshihiro; Shimomura, Tetsu
2
2009
Riesz decomposition for superbiharmonic functions in the unit ball. Zbl 1184.31009
Futamura, T.; Kitaura, K.; Mizuta, Y.
2
2009
Riesz decomposition for super-polyharmonic functions in the punctured unit ball. Zbl 1299.31004
Futamura, Toshihide; Mizuta, Yoshihiro; Ohno, Takao
2
2014
On the boundary limits of Green potentials of functions. Zbl 0695.31006
Mizuta, Yoshihiro
2
1988
An integral representation and fine limits at infinity for functions whose Laplacians iterated \(m\) times are measures. Zbl 0893.31007
Mizuta, Yoshihiro
2
1997
Remarks on the results by Koskela concerning the radial uniqueness for Sobolev functions. Zbl 0890.31005
Mizuta, Yoshihiro
2
1998
The gradient of a convex function on a regular functional space and its potential theoretic properties. Zbl 0347.47029
Kenmochi, Nobuyuki; Mizuta, Yoshihiro
2
1974
Potential theoretic properties of the gradient of a convex function on a functional space. Zbl 0347.47030
Kenmochi, Nobuyuki; Mizuta, Yoshihiro
2
1975
Boundary limits of functions in weighted Lebesgue or Sobolev classes. Zbl 1049.31007
Mizuta, Yoshihiro
2
2001
On the behavior of potentials near a hyperplane. Zbl 0537.31006
Mizuta, Yoshihiro
2
1983
On the existence of weighted boundary limits of harmonic functions. Zbl 0715.31002
Mizuta, Yoshihiro
2
1990
Fine differentiability of Riesz potentials. Zbl 0398.31005
Mizuta, Yoshihiro
2
1978
Spherical means and Riesz decomposition for superbiharmonic functions. Zbl 1103.31004
Kitaura, Keiji; Mizuta, Yoshihiro
2
2006
Continuity of weakly monotone Sobolev functions of variable exponent. Zbl 1119.31002
Futamura, Toshihide; Mizuta, Yoshihiro
2
2006
Existence of tangential limits for \(\alpha\)-harmonic functions on half spaces. Zbl 1101.31005
Mizuta, Yoshihiro
2
2006
On the behavior at infinity of Green potentials in a half space. Zbl 0451.31010
Mizuta, Yoshihiro
2
1980
Hardy’s inequality in Orlicz-Sobolev spaces of variable exponent. Zbl 1227.46023
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
2
2011
Iterated maximal functions in variable exponent Lebesgue spaces. Zbl 1230.46025
Harjulehto, Petteri; Hästö, Peter; Mizuta, Yoshihiro; Shimomura, Tetsu
2
2011
Capacity for potentials of functions in Musielak-Orlicz spaces. Zbl 1238.46020
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
2
2011
Variable exponent weighted norm inequality for generalized Riesz potentials. Zbl 1393.46023
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Shimomura, Tetsu
2
2018
Sobolev’s theorem for double phase functionals. Zbl 1453.46021
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
4
2020
Boundary growth of Sobolev functions for double phase functionals. Zbl 1439.31007
Mizuta, Yoshihiro; Shimomura, Tetsu
2
2020
Campanato-Morrey spaces for the double phase functionals with variable exponents. Zbl 1441.31004
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
1
2020
Campanato-Morrey spaces for the double phase functionals. Zbl 1452.31010
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
1
2020
Sobolev’s inequality for double phase functionals with variable exponents. Zbl 1423.46049
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
11
2019
Weak estimates for the maximal and Riesz potential operators in non-homogeneous central Herz-Morrey spaces. Zbl 1421.31014
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
1
2019
Sobolev inequalities for Musielak-Orlicz spaces. Zbl 1392.46037
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
6
2018
Variable exponent weighted norm inequality for generalized Riesz potentials on the unit ball. Zbl 1405.46023
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Shimomura, Tetsu
4
2018
Growth properties of potentials in central Morrey-Orlicz spaces on the unit ball. Zbl 1396.31004
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
4
2018
Variable exponent weighted norm inequality for generalized Riesz potentials. Zbl 1393.46023
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Shimomura, Tetsu
2
2018
Duality of non-homogeneous central Herz-Morrey-Musielak-Orlicz spaces. Dedicated to Professor Hiroaki Aikawa on the occasion of his sixtieth birthday. Zbl 1387.46029
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
4
2017
Growth properties for Riesz potentials of functions in weighted variable \(L^{p(\cdot)}\) spaces. Zbl 1375.31008
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
2
2017
Herz-Morrey spaces of variable exponent, Riesz potential operator and duality. Zbl 1312.31013
Mizuta, Yoshihiro; Ohno, Takao
8
2015
Growth properties of Musielak-Orlicz integral means for Riesz potentials. Zbl 1333.46030
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Shimomura, Tetsu
7
2015
Weighted Morrey spaces of variable exponent and Riesz potentials. Zbl 1318.31009
Mizuta, Yoshihiro; Shimomura, Tetsu
7
2015
Sobolev and Trudinger type inequalities on grand Musielak-Orlicz-Morrey spaces. Zbl 1327.31017
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
7
2015
Boundedness of maximal operators and Sobolev’s theorem for non-homogeneous central Morrey spaces of variable exponent. Zbl 1334.31004
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
5
2015
Boundedness of the maximal operator and Sobolev’s inequality on non-homogeneous central Herz-Morrey-Orlicz spaces. Zbl 1325.31002
Mizuta, Yoshihiro; Ohno, Takao
5
2015
Optimal estimates for the fractional Hardy operator. Zbl 1328.47049
Mizuta, Yoshihiro; Nekvinda, Aleš; Shimomura, Tetsu
4
2015
Sobolev’s theorem and duality for Herz-Morrey spaces of variable exponent. Zbl 1288.31010
Mizuta, Yoshihiro; Ohno, Takao
12
2014
Trudinger’s exponential integrability for Riesz potentials of functions in generalized grand Morrey spaces. Zbl 1305.42017
Mizuta, Yoshihiro; Ohno, Takao
5
2014
Sobolev’s theorem for Riesz potentials of functions in grand Morrey spaces of variable exponent. Zbl 1332.31007
Futamura, Toshihide; Mizuta, Yoshihiro; Ohno, Takao
4
2014
Hardy’s inequality in Musielak-Orlicz-Sobolev spaces. Zbl 1316.46030
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
3
2014
Riesz decomposition for super-polyharmonic functions in the punctured unit ball. Zbl 1299.31004
Futamura, Toshihide; Mizuta, Yoshihiro; Ohno, Takao
2
2014
Boundedness of maximal operators and Sobolev’s inequality on Musielak-Orlicz-Morrey spaces. Zbl 1267.46045
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
52
2013
Approximate identities and Young type inequalities in Musielak-Orlicz spaces. Zbl 1313.46041
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
16
2013
Trudinger’s inequality and continuity of potentials on Musielak-Orlicz-Morrey spaces. Zbl 1268.46024
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
7
2013
Littlewood-Paley theory for variable exponent Lebesgue spaces and Gagliardo-Nirenberg inequality for Riesz potentials. Zbl 1269.31005
Mizuta, Yoshihiro; Nakai, Eiichi; Sawano, Yoshihiro; Shimomura, Tetsu
6
2013
Hardy averaging operator on generalized Banach function spaces and duality. Zbl 1286.47030
Mizuta, Yoshihiro; Nekvinda, Aleš; Shimomura, Tetsu
3
2013
Mean continuity for potentials of functions in Musielak-Orlicz spaces. Zbl 1303.46022
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
3
2013
Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in \(\mathbb{R}^n\). Zbl 1273.31005
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
14
2012
Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces. Zbl 1246.46034
Mizuta, Yoshihiro; Nakai, Eiichi; Sawano, Yoshihiro; Shimomura, Tetsu
6
2012
Weighted Sobolev inequality in Musielak-Orlicz space. Zbl 1243.46020
Mizuta, Yoshihiro; Shimomura, Tetsu
5
2012
Orlicz capacity of balls. Zbl 1316.46031
Mizuta, Yoshihiro; Ohno, Takao
1
2012
Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents. Zbl 1228.31004
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
23
2011
Orlicz-Sobolev capacity of balls. Zbl 1277.46016
Futamura, T.; Mizuta, Y.; Ohno, T.; Shimomura, T.
2
2011
Hardy’s inequality in Orlicz-Sobolev spaces of variable exponent. Zbl 1227.46023
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
2
2011
Iterated maximal functions in variable exponent Lebesgue spaces. Zbl 1230.46025
Harjulehto, Petteri; Hästö, Peter; Mizuta, Yoshihiro; Shimomura, Tetsu
2
2011
Capacity for potentials of functions in Musielak-Orlicz spaces. Zbl 1238.46020
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
2
2011
A Montel type result for super-polyharmonic functions on \(\mathbb{R}^N\). Zbl 1210.31003
Futamura, Toshihide; Kitaura, Keiji; Mizuta, Yoshihiro
1
2011
Sobolev’s inequality for Riesz potentials in Orlicz-Musielak spaces of variable exponent. Zbl 1294.46037
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
1
2011
Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials. Zbl 1200.26007
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
26
2010
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. Zbl 1202.46034
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu; Shioji, Naoki
14
2010
Continuity properties for Riesz potentials of functions in Morrey spaces of variable exponent. Zbl 1184.31005
Mizuta, Yoshihiro; Shimomura, Tetsu
13
2010
Approximate identities and Young type inequalities in variable Lebesgue-Orlicz spaces \(L^{p(\cdot)}(\log L)^{q(\cdot)}\). Zbl 1216.46025
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao
13
2010
Integrability of maximal functions and Riesz potentials in Orlicz spaces of variable exponent. Zbl 1193.46016
Futamura, Toshihide; Mizuta, Yoshihiro; Shimomura, Tetsu
12
2010
Sobolev inequalities for Orlicz spaces of two variable exponents. Zbl 1206.46035
Hästö, Peter; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
11
2010
Sobolev embeddings for Riesz potential spaces of variable exponents near 1 and Sobolev’s exponent. Zbl 1192.46027
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
8
2010
Sobolev’s inequality for Riesz potentials of functions in Morrey spaces of integral form. Zbl 1211.46026
Mizuta, Yoshihiro; Shimomura, Tetsu
4
2010
Weighted Orlicz-Riesz capacity of balls. Zbl 1219.46034
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
1
2010
Continuity properties of Riesz potentials of Orlicz functions. Zbl 1181.46026
Mizuta, Yoshihiro; Shimomura, Tetsu
14
2009
Sobolev’s inequality for Riesz potentials of functions in non-doubling Morrey spaces. Zbl 1186.31003
Mizuta, Yoshihiro; Shimomura, Tetsu; Sobukawa, Takuya
12
2009
Variable exponent spaces on metric measure spaces. Zbl 1189.46027
Futamura, Toshihide; Harjulehto, Petteri; Hästö, Peter; Mizuta, Yoshihiro; Shimomura, Tetsu
2
2009
Riesz decomposition for superbiharmonic functions in the unit ball. Zbl 1184.31009
Futamura, T.; Kitaura, K.; Mizuta, Y.
2
2009
Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent. Zbl 1161.46305
Mizuta, Yoshihiro; Shimomura, Tetsu
39
2008
Sobolev’s inequalities and vanishing integrability for Riesz potentials of functions in the generalized Lebesgue space \(L^{p(\cdot)}(\log L)^{q(\cdot)}\). Zbl 1153.31002
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
28
2008
An elementary proof of Sobolev embeddings for Riesz potentials of functions in Morrey spaces \(L^{1,\nu,\beta}(G)\). Zbl 1175.31005
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
11
2008
Integrability of maximal functions for generalized Lebesgue spaces with variable exponent. Zbl 1143.46010
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
8
2008
Isolated singularities, growth of spherical means and Riesz decomposition for superbiharmonic functions. Zbl 1161.31302
Futamura, Toshihide; Kitaura, Keiji; Mizuta, Yoshihiro
1
2008
Integrability of maximal functions for generalized Lebesgue spaces \(L^{p(\cdot)}(\log L)^{q(\cdot)}\). Zbl 1199.46076
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu
1
2008
Vanishing exponential integrability for Riesz potentials of functions in Orlicz classes. Zbl 1152.31003
Mizuta, Yoshihiro; Shimomura, Tetsu
5
2007
Sobolev embeddings for variable exponent Riesz potentials on metric spaces. Zbl 1100.31002
Futamura, Toshihide; Mizuta, Yoshihiro; Shimomura, Tetsu
35
2006
Sobolev embeddings for Riesz potential space of variable exponent. Zbl 1109.31004
Futamura, Toshihide; Mizuta, Yoshihiro; Shimomura, Tetsu
14
2006
Maximal functions for Lebesgue spaces with variable exponent approaching 1. Zbl 1111.46019
Futamura, Toshihide; Mizuta, Yoshihiro
9
2006
Maximal functions, Riesz potentials and Sobolev’s inequality in generalized Lebesgue spaces. Zbl 1125.31001
Mizuta, Yoshihiro; Shimomura, Tetsu
4
2006
Spherical means and Riesz decomposition for superbiharmonic functions. Zbl 1103.31004
Kitaura, Keiji; Mizuta, Yoshihiro
2
2006
Continuity of weakly monotone Sobolev functions of variable exponent. Zbl 1119.31002
Futamura, Toshihide; Mizuta, Yoshihiro
2
2006
Existence of tangential limits for \(\alpha\)-harmonic functions on half spaces. Zbl 1101.31005
Mizuta, Yoshihiro
2
2006
Continuity properties of Riesz potentials for function in \(L^{p(.)}\) of variable exponent. Zbl 1087.31004
Futamura, Toshihide; Mizuta, Yoshihiro
15
2005
Sobolev’s inequality for Riesz potentials with variable exponent satisfying a log-Hölder condition at infinity. Zbl 1085.31005
Mizuta, Yoshihiro; Shimomura, Tetsu
7
2005
Boundary behavior of monotone Sobolev functions on John domains in a metric space. Zbl 1074.31005
Futamura, Toshihide; Mizuta, Yoshihiro
6
2005
Continuity of weakly monotone Sobolev functions. Zbl 1101.46021
Futamura, Toshihide; Mizuta, Yoshihiro
1
2005
Continuity of Sobolev functions of variable exponent on metric spaces. Zbl 1072.46506
Mizuta, Yoshihiro; Shimomura, Tetsu
10
2004
Isolated singularities of super-polyharmonic functions. Zbl 1073.31005
Futamura, Toshihide; Mizuta, Yoshihiro
6
2004
Growth properties for modified Poisson integrals in a half space. Zbl 1056.31004
Mizuta, Yoshihiro; Shimomura, Tetsu
5
2004
Removability of sets for sub-polyharmonic functions. Zbl 1041.31004
Futamura, Toshihide; Kishi, Kyoko; Mizuta, Yoshihiro
4
2003
Lindelöf theorems for monotone Sobolev functions. Zbl 1035.31005
Futamura, Toshihide; Mizuta, Yoshihiro
3
2003
On semi-fine limits at infinity for Riesz potentials and monotone BLD functions. Zbl 1033.31003
Mizuta, Yoshihiro; Shimomura, Tetsu
1
2003
Tangential limits and removable sets for weighted Sobolev spaces. Zbl 1030.31006
Futamura, Toshihide; Mizuta, Yoshihiro
1
2003
Radial growth of \(C^2\) functions satisfying Bloch type condition. Zbl 1060.31003
Futamura, Toshihide; Mizuta, Yoshihiro
1
2003
Continuity and differentiability for weighted Sobolev spaces. Zbl 1029.46032
Mizuta, Yoshihiro; Shimomura, Tetsu
4
2002
Crack edge element of three-dimensional displacement discontinuity method with boundary division into triangular leaf elements. Zbl 1052.74586
Li, H.; Liu, C. L.; Mizuta, Y.; Kayupov, M. A.
10
2001
A generalization of Bôcher’s theorem for polyharmonic functions. Zbl 1013.31005
Futamura, Toshihide; Kishi, Kyoko; Mizuta, Yoshihiro
8
2001
Boundary limits of functions in weighted Lebesgue or Sobolev classes. Zbl 1049.31007
Mizuta, Yoshihiro
2
2001
A generalization of the Liouville theorem to polyharmonic functions. Zbl 0977.31005
Futamura, Toshihide; Kishi, Kyoko; Mizuta, Yoshihiro
1
2001
Differentiability and Hölder continuity of Riesz potentials of Orlicz functions. Zbl 0955.31002
Mizuta, Yoshihiro; Shimomura, Tetsu
14
2000
Growth properties of spherical means for monotone BLD functions in the unit ball. Zbl 0956.31005
Mizuta, Yoshihiro; Shimomura, Tetsu
1
2000
Boundary limits of spherical means for BLD and monotone BLD functions in the unit ball. Zbl 0926.31003
Mizuta, Yoshihiro; Shimomura, Tetsu
9
1999
Exponential integrability for Riesz potentials of functions in Orlicz classes. Zbl 0917.31004
Mizuta, Yoshihiro; Shimomura, Tetsu
9
1998
Remarks on the results by Koskela concerning the radial uniqueness for Sobolev functions. Zbl 0890.31005
Mizuta, Yoshihiro
2
1998
Integral representations, differentiability properties and limits at infinity for Beppo Levi functions. Zbl 0885.31004
Mizuta, Yoshihiro
10
1997
An integral representation and fine limits at infinity for functions whose Laplacians iterated \(m\) times are measures. Zbl 0893.31007
Mizuta, Yoshihiro
2
1997
Hyperplane means of potentials. Zbl 0858.31007
Mizuta, Yoshihiro
3
1996
On the existence of tangential limits of monotone BLD functions. Zbl 0866.31004
Matsumoto, Shigeki; Mizuta, Yoshihiro
1
1996
Potential theory in Euclidean spaces. Zbl 0849.31001
Mizuta, Yoshihiro
27
1995
Tangential limits of monotone Sobolev functions. Zbl 0852.31008
Mizuta, Yoshihiro
10
1995
Taylor expansion of Riesz potentials. Zbl 0863.31005
Shimomura, Tetsu; Mizuta, Yoshihiro
8
1995
Boundary limits of polyharmonic functions in Sobolev-Orlicz spaces. Zbl 0845.31002
Mizuta, Yoshihiro
3
1995
A theorem of Hardy-Littlewood for harmonic functions satisfying Hölder’s condition. Zbl 0842.31003
Kiso, Toshihiro; Mizuta, Yoshihiro; Shimomura, Tetsu
1
1995
Continuity properties of potentials and Beppo-Levi-Deny functions. Zbl 0782.31004
Mizuta, Yoshihiro
16
1993
...and 30 more Documents
all top 5

Cited by 278 Authors

82 Shimomura, Tetsu
67 Mizuta, Yoshihiro
48 Ohno, Takao
27 Sawano, Yoshihiro
18 Hästö, Peter A.
14 Nakai, Eiichi
13 Harjulehto, Petteri
13 Maeda, Fumiyuki
11 Guliyev, Vagif Sabir
9 Futamura, Toshihide
8 Samko, Stefan Grigorievich
6 Fiorenza, Alberto
6 Hasanov, Javanshir J.
5 Chlebicka, Iwona
5 Cruz-Uribe, David Vincente
5 Górka, Przemysław
5 Ho, Kwok-Pun
5 Saintier, Nicolas
5 Silva, Analía
4 Badalov, Xayyam A.
4 Deringoz, Fatih
4 Fernández Bonder, Julián
4 Gwiazda, Piotr
4 Latvala, Visa
4 Sugiyama, Yuusuke
4 Yamamoto, Masakazu
4 Yang, Dachun
4 Zatorska-Goldstein, Anna
3 Almeida, Alexandre
3 Anatriello, Giuseppina
3 Deng, Guantie
3 Formica, Maria Rosaria
3 Fu, Zunwei
3 Giannetti, Flavia
3 Hurri-Syrjānen, Ritva
3 Karppinen, Arttu
3 Riihentaus, Juhani
3 Shen, Baotang
3 Shi, Jingyu
3 Taliaferro, Steven D.
3 Villamor, Enrique
3 Xu, Bochi
2 Akagi, Goro
2 Anandam, Victor
2 Aykol, Canay
2 Bandaliev, Rovshan Alifaga ogly
2 Bilogliadov, Mykhailo
2 Brigante, Michele
2 Caetano, António M.
2 Cianchi, Andrea
2 Colasuonno, Francesca
2 Dorronsoro, José R.
2 Edmunds, David Eric
2 Fan, Xianling
2 Fu, Yongqiang
2 Gaczkowski, Michał
2 Ghergu, Marius
2 Gogatishvili, Amiran
2 Hussain, Amjad
2 Manfredi, Juan J.
2 Matsuoka, Katsuo
2 Miklyukov, Vladimir Mikhaiĭlovich
2 Najafov, Alik M.
2 Pucci, Patrizia
2 Qiao, Lei
2 Render, Hermann
2 Sarfraz, Naqash
2 Shi, Minglei
2 Stoll, Manfred
2 Sumbatyan, Mezhlum A.
2 Tanaka, Hitoshi
2 Tian, Boping
2 Vuorinen, Matti Keijo Kustaa
2 Wang, Hongbin
2 Xiong, Jingang
2 Yamauchi, Yusuke
2 Zhuo, Ciqiang
1 Abdelkefi, Chokri
1 Adams, David Randolph
1 Ahern, Patrick B.
1 Ahmida, Youssef
1 Akgun, Ramazan
1 Al-Gwaiz, Mohammed A.
1 Alberico, Angela
1 Alekberli, Sain T.
1 Alisoy, G. T.
1 Alisoy, Hafiz Z.
1 Arai, Ryutaro
1 Attouch, Hedy
1 Autuori, Giuseppina
1 Baalal, Azeddine
1 Babayev, Rovshan F.
1 Baratchart, Laurent
1 Barilla, David
1 Baroni, Paolo
1 Batbold, Tserendorj
1 Ben Chrouda, Mohamed
1 Ben Fredj, Mahmoud
1 Benyaiche, Allami
1 Berghout, Mohamed
...and 178 more Authors
all top 5

Cited in 117 Serials

27 Journal of Mathematical Analysis and Applications
17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Potential Analysis
10 Complex Variables and Elliptic Equations
9 Annales Academiae Scientiarum Fennicae. Mathematica
8 Journal of Functional Analysis
7 Journal of Differential Equations
7 Proceedings of the American Mathematical Society
7 Transactions of the American Mathematical Society
7 Engineering Analysis with Boundary Elements
6 Mathematische Nachrichten
6 Tohoku Mathematical Journal. Second Series
6 Revista Matemática Complutense
5 Czechoslovak Mathematical Journal
5 Journal of the Mathematical Society of Japan
4 Integral Equations and Operator Theory
4 Manuscripta Mathematica
4 Journal of Inequalities and Applications
4 Mathematical Inequalities & Applications
4 Journal of Function Spaces and Applications
4 Journal of Function Spaces
3 Collectanea Mathematica
3 Illinois Journal of Mathematics
3 Proceedings of the Japan Academy. Series A
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Forum Mathematicum
3 The Journal of Geometric Analysis
3 Calculus of Variations and Partial Differential Equations
3 Journal of Mathematical Sciences (New York)
3 NoDEA. Nonlinear Differential Equations and Applications
3 Bulletin des Sciences Mathématiques
3 Integral Transforms and Special Functions
3 Computational Methods and Function Theory
3 Mediterranean Journal of Mathematics
3 Banach Journal of Mathematical Analysis
3 Kyoto Journal of Mathematics
2 Studia Mathematica
2 Annales de l’Institut Fourier
2 Applied Mathematics and Computation
2 Canadian Mathematical Bulletin
2 Colloquium Mathematicum
2 Duke Mathematical Journal
2 Osaka Journal of Mathematics
2 Ricerche di Matematica
2 Zeitschrift für Analysis und ihre Anwendungen
2 Georgian Mathematical Journal
2 The Journal of Fourier Analysis and Applications
2 Abstract and Applied Analysis
2 Positivity
2 Communications in Contemporary Mathematics
2 Lobachevskii Journal of Mathematics
2 Journal of the Australian Mathematical Society
2 Frontiers of Mathematics in China
2 Journal of Mathematical Inequalities
2 Science China. Mathematics
2 Analysis and Mathematical Physics
1 Analysis Mathematica
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 Indian Journal of Pure & Applied Mathematics
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of the Mechanics and Physics of Solids
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Nonlinearity
1 Periodica Mathematica Hungarica
1 Arkiv för Matematik
1 Acta Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Archiv der Mathematik
1 Compositio Mathematica
1 Dissertationes Mathematicae
1 Glasgow Mathematical Journal
1 Hiroshima Mathematical Journal
1 Indiana University Mathematics Journal
1 Journal of Approximation Theory
1 Journal für die Reine und Angewandte Mathematik
1 Kodai Mathematical Journal
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 Quaestiones Mathematicae
1 Revista de la Unión Matemática Argentina
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Complex Variables. Theory and Application
1 Acta Applicandae Mathematicae
1 Constructive Approximation
1 Applied Mathematics Letters
1 Asymptotic Analysis
1 Communications in Partial Differential Equations
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Applied Mathematics. Series B (English Edition)
1 St. Petersburg Mathematical Journal
1 Taiwanese Journal of Mathematics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Fractional Calculus & Applied Analysis
1 Acta Mathematica Sinica. English Series
...and 17 more Serials

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