Takao Ohno

オオノタカオ | Takao Ohno

Affiliation and department：

Research field (1)： Basic analysis

Research keywords (1)：ポテンシャル論,ソボレフの不等式,リースポテンシャル,極大作用素

Research theme for competitive and other funds (7)：

2024 - 2028 非有界な距離空間上のSobolev型不等式の研究
2019 - 2023 Sobolev's inequality on metric measure spaces
2016 - 2019 Obstacle problem for Musielak-Orlicz Dirichlet energy integral on metric measure spaces
2014 - 2018 A new trend of function spaces with variable exponents
2010 - 2014 Potential analysis of various function spaces and application

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Papers (98)：

Takao Ohno, Tetsu Shimomura. On Trudinger-type inequalities in Musielak-Orlicz-Morrey spaces of an integral form over metric measure spaces. Zeitschrift für Analysis und ihre Anwendungen. 2024. 43. 3. 377-400
Takao Ohno, Tetsu Shimomura. Trudinger-type inequalities for variable Riesz potentials of functions in Musielak-Orlicz-Morrey spaces over metric measure spaces. Mathematische Nachrichten. 2023. 297. 4. 1248-1274
Takao Ohno, Tetsu Shimomura. Continuity of Generalized Riesz Potentials for Double Phase Functionals with Variable Exponents over Metric Measure Spaces. Taiwanese Journal of Mathematics. 2023. 27. 4
Takao Ohno, Tetsu Shimomura. Continuity of Riesz potentials for double phase functionals with variable exponents. Publicationes Mathematicae Debrecen. 2023. 103. 1-2. 171-186
Takao Ohno, Tetsu Shimomura. Sobolev's inequality in Musielak-Orlicz-Morrey spaces of an integral form. Mathematische Nachrichten. 2023. 296. 9. 4152-4168

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MISC (1)：

Mizuta Yoshihiro, Ohno Takao, Shimomura Tetsu. Sobolev's inequality for Orlicz-Sobolev spaces of variable exponents (Potential Theory and its related Fields). RIMS Kokyuroku. 2009. 1669. 91-102

Lectures and oral presentations (29)：

Trudinger's inequality for double phase functionals with variable exponents
(2021)
Boundedness of the maximal operator for double phase functionals with variable exponents
(2019)
Sobolev's inequalities on non-homogeneous central Herz-Morrey-Musielak-Orlicz spaces
(日本数学会 2016)
Trudinger's inequality for Riesz potentials of functions in Musielak-Orlicz spaces on metric measure spaces
(日本数学会 2015)
Trudinger's inequality for Riesz potentials of functions in Musielak-Orlicz spaces
(日本数学会 2014)

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Education (3)：

Professional career (1)：

Work history (5)：

2023/03 - 現在 Oita University Faculty of Education
2016/04 - 2023/02 Oita University Faculty of Education
2013/04 - 2016/03 Oita University
2010/04 - 2013/03 Oita University
2008/04 - 2010/03 Hiroshima National College of Maritime Technology General Arts

Association Membership(s) (1)：

THE MATHEMATICAL SOCIETY OF JAPAN

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