研究業績
(41) Takao Ohno and Tetsu Shimomura
Trudinger's inequality and continuity for
Riesz potentials
of functions in grand Musielak-Orlicz-Morrey spaces over non-doubling metric measure
spaces,
to appear in Kyoto J. Math. (PDF
)
(40) Sachihiro Kanemori, Takao Ohno and Tetsu Shimomura
Exponential integrability for logarithmic potentials of
functions in generalized Lebesgue spaces $L(\log L)^{q(\cdot)}$ over non-doubling measure spaces,
to
appear in Taiwanese J. M.(PDF
)
(39) Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
Sobolev and Trudinger type inequalities on grand Musielak-Orlicz-Morrey
spaces,
Ann. Acad. Sci. Fenn. Math. 40
(2015), no. 1, 403--426. (PDF)
(38) Yoshihiro Mizuta and Takao Ohno
Herz-Morrey spaces of
variable exponent, Riesz potential operator and duality,
Complex Var.
Elliptic Equ. 60 (2015), no. 2, 211--240. (PDF
)
(37) Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
Boundedness of maximal operators and Sobolev's theorem for non-homogeneous
central Morrey spaces of variable exponent,
Hokkaido Math. J. 44
(2015), 185--201.
(PDF )
(36) Takao Ohno and Tetsu Shimomura
Musielak-Orlicz-Sobolev spaces on metric measure spaces,
Czech. Math. J.
65 (2015), no. 2, 435--474.(PDF
)
(35) Yoshihiro Mizuta and Takao Ohno
Sobolev's inequality for Riesz potentials in
Lorentz spaces of variable exponent,
J. Math. Soc. Japan.
67
(2015), no. 2, 1--20. (PDF )
(34) Toshihide Futamura, Takao Ohno and Tetsu
Shimomura
Boundary limits of monotone Sobolev functions with
variable exponent on uniform domains in a metric space,
Rev.
Mat. Complut. 28
(2015), no.
1, 31--48. (PDF )
(33) Toshihide Futamura, Yoshihiro Mizuta and Takao Ohno
Spherical means of super-polyharmonic functions in the unit ball,
Hiroshima Math. J. 44 (2014), no. 2, 235--245.(PDF )
(32) Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno and Tetsu
Shimomura
Hardy's inequality in Musielak-Orlicz-Sobolev spaces,
Hiroshima Math. J. 44 (2014), no. 2, 139--155. (PDF )
(31) Takao Ohno and Tetsu Shimomura
Sobolev embeddings for Riesz
potentials of functions in grand Morrey spaces of variable exponents over
non-doubling measure spaces,
Czech. Math. J. 64 (2014),
no. 1, 209--228. (PDF )
(30) Yoshihiro Mizuta and Takao Ohno
Trudinger's exponential
integrability for Riesz potentials of functions in generalized grand Morrey
spaces,
J. Math. Anal. Appl. 420 (2014), no. 1, 268--278.
(PDF )
(29) Takao Ohno and Tetsu Shimomura
Trudinger's inequality and
continuity for Riesz potentials of functions in Musielak-Orlicz-Morrey spaces on
metric measure spaces,
Nonlinear Anal. 106 (2014),
1--17. (PDF
)
(28) Toshihide Futamura, Yoshihiro Mizuta and Takao Ohno
Riesz decomposition for super-polyharmonic functions in the punctured unit
ball,
Studia Sci. Math. Hungarica. 51 (2014), 1--16. (PDF )
(27) Yoshihiro Mizuta and Takao Ohno
Sobolev's theorem and
duality for Herz-Morrey spaces of variable exponent,
Ann. Acad. Sci. Fenn.
Math. 39 (2014), 389--416. (PDF
)
(26) Takao Ohno and Tetsu Shimomura
Trudinger's inequality for
Riesz potentialsof functions in Musielak-Orlicz spaces,
Bull. Sci. Math.
138 (2014), 225--235. (PDF )
(25) Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
Approximate identities and Young type inequalities in Musielak-Orlicz
spaces,
Czech. Math. J.
63
, no. 4 (2013), 933--948. (PDF )
(24) Toshihide Futamura, Yoshihiro Mizuta and Takao Ohno
Sobolev's theorem for Riesz potentials of functions in grand Morrey spaces
of variable exponent,
Proceedings of the International Symposium on Banach
and Function Spaces IV, 353--365.(PDF
)
(23) Yoshihiro Mizuta and Takao Ohno
Sobolev's inequality
for Riesz potentials in central Lorentz-Morrey spaces of variable exponent,
RIMS Kokyuroku Bessatsu. B43 (2013), 101--120. (PDF
)
(22) Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
Mean continuity for potentials of functions in Musielak-Orlicz spaces,
RIMS Kokyuroku Bessatsu. B43 (2013), 81--100. (PDF
)
(21) Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
Trudinger's inequality and continuity of potentials on
Musielak-Orlicz-Morrey spaces,
Potential Anal.
38
(2013), 515--535.(PDF)
(20) Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
Boundedness of maximal operators and Sobolev's inequality on
Musielak-Orlicz-Morrey spaces,
Bull. Sci. Math. 137
(2013), 76--96.(PDF )
(18) Yoshihiro Mizuta, Eiichi Nakai, Takao Ohno and Tetsu
Shimomura,
Maximal functions, Riesz potentials and Sobolev embeddings on
Musielak-Orlicz-Morrey spaces of variable exponent in $\R^n$,
Rev. Mat.
Complut. 25 (2012), no. 2, 413--434. (PDF )
(17) Toshihide Futamura, Yoshihiro Mizuta, Takao Ohno and
Tetsu Shimomura,
Orlicz-Sobolev capacity of balls,
Illinois J. Math. 55
(2011), no.
2, 543--553 (PDF )
(16) Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno and Tetsu
Shimomura,
Capacity for potentials of functions in Musielak-Orlicz
spaces,
Nonlinear Anal.
74
(2011), no. 17, 6231--6243. (PDF)
(15) Yoshihiro Mizuta, Eiichi Nakai, Takao Ohno and Tetsu
Shimomura,
Riesz potentials and Sobolev embeddings on Morrey
spaces of variable exponent,
Complex Var. Elliptic Equ.
56
(2011), 671--695. (PDF
)
(14) Yoshihiro Mizuta, Eiichi Nakai, Takao
Ohno and Tetsu Shimomura,
Sobolev's inequality for Riesz potentials in
Orlicz-Musielak spaces of variable exponent,
Banach and function spaces,
409--419, Yokohama Publ., Yokohama, 2011.(PDF )
(13) Yoshihiro Mizuta, Eiichi Nakai, Takao Ohno and Tetsu
Shimomura,
Hardy's inequality in variable exponent Orlicz spaces,
Hokkaido
Math. J. 40 (2011), 187--203.(PDF )
(12) Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura,
Weighted Orlicz-Riesz capacity of balls,
Proc. Amer. Math. Soc.
138 (2010), no. 12, 4291--4302. (PDF )
(11) Fumi-Yuki Maeda, Yoshihiro Mizuta and Takao Ohno,
Approximate
identities and Young type inequalities in variable Lebesgue-Orlicz spaces
$L^{p(\cdot)}(\log L)^{q(\cdot)}$,
Ann. Acad. Sci. Fenn. Math. 35, (2010),
405--420. (PDF
)
(10) Yoshihiro Mizuta, Takao Ohno and Tetsu
Shimomura,
Sobolev embeddings for Riesz potential spaces of variable
exponents near $1$ and Sobolev's exponent,
Bull. Sci. Math.
134 (2010), no. 1, 12--36. (PDF )
(9) Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura and
Naoki Shioji,
Compact embeddings for Sobolev spaces of variable
exponents and existence of solutions for nonlinear elliptic problems
involving the $\mathbf{p(x)}$-Laplacian and its critical exponent,
Ann. Acad.
Sci. Fenn. Math. 35 (2010), 115--130. (PDF )
(8) Peter H\"{a}st\"{o}, Yoshihiro Mizuta, Takao Ohno and
Tetsu Shimomura,
Sobolev inequalities for Orlicz spaces of two variable
exponents,
Glasg. Math. J. 52 (2010), 227--240. (PDF )
(7) Yoshihiro Mizuta, Eiichi Nakai, Takao Ohno and
Tetsu Shimomura,
Boundedness of fractional integral operators on Morrey
spaces and Sobolev embeddings for generalized Riesz potentials,
J. Math. Soc.
Japan. 62 (2010), no. 3, 707--744. (PDF )
（6） Yoshihiro Mizuta, Takao Ohno and Tetsu
Shimomura,
Integrability of maximal functions for generalized Lebesgue spaces
$L^{p(\cdot)}(\log L)^{q(\cdot)}$,
Potential theory and stochastics in
Albac, 193--202, Theta Ser. Adv. Math., 11, Theta, Bucharest, 2009. (PDF)
(5) Takao Ohno,
Compact embeddings in the generalized Sobolev
space $W_{0}^{1,p(\cdot)}(G)$ and existence of solutions for nonlinear elliptic
problems,
Nonlinear Anal. 71 (2009), 1534--1541. (PDF
)
(4) Yoshihiro Mizuta, Eiichi Nakai, Takao Ohno and Tetsu Shimomura,
An elementary proof of Sobolev embeddings for Riesz potentials of functions
in Morrey spaces $L^{1,\nu,\beta}(G)$,
Hiroshima Math. J.
38 (2008), 461--472. (PDF )
(3) Takao Ohno,
Continuity properties for logarithmic
potentials of functions in Morrey spaces of variable exponent,
Hiroshima
Math. J. 38 (2008), 363--383. (PDF )
(2) Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura,
Sobolev's
inequalities and vanishing integrability for Rieszpotentials of functions in
generalized Lebesgue spaces $L^{p(\cdot)}(\log L)^{q(\cdot)}$,
J. Math. Anal.
Appl. 345 (2008), 70--85. (PDF )
(1) Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura,
Integrability of maximal functions for generalized Lebesgue spaces with
variable exponent,
Math. Nachr. 281 (2008), no. 3, 386--395. (PDF
)