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  1. No Access

    Article

    Sobolev type inequalities for fractional maximal functions and Riesz potentials in Morrey spaces of variable exponent on half spaces

    Our aim is to establish Sobolev type inequalities for fractional maximal functions \({M_{\mathbb{H},\nu }}f\) ...

    Yoshihiro Mizuta, Tetsu Shimomura in Czechoslovak Mathematical Journal (2023)

  2. No Access

    Article

    Generalized fractional maximal operators on Musielak-Orlicz-Morrey spaces

    We prove the boundedness of the generalized fractional maximal operator \(M_{\rho }\)

    Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura in Positivity (2023)

  3. No Access

    Article

    Trudinger’s Inequality on Musielak–Orlicz–Morrey Spaces Over Non-doubling Metric Measure Spaces

    We give a generalized Trudinger’s inequality for Riesz potentials \(I_{\alpha (\cdot ),\tau }f\) ...

    Ritva Hurri-Syrjänen, Takao Ohno, Tetsu Shimomura in Mediterranean Journal of Mathematics (2023)

  4. No Access

    Article

    Hardy–Littlewood–Sobolev Theorem for Variable Riesz Potentials

    We study Hardy–Littlewood–Sobolev theorem for variable Riesz potentials \(I_{\alpha (\cdot )}f\) ...

    Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura in Results in Mathematics (2023)

  5. No Access

    Article

    Sobolev’s Inequality for Musielak–Orlicz–Sobolev Functions

    Our aim in this paper is to deal with Sobolev’s inequality for Musielak–Orlicz–Sobolev functions in \(W_0^{1, \Phi }(\textbf{R}^N)\) ...

    Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura in Results in Mathematics (2023)

  6. No Access

    Article

    Riesz potentials and Sobolev-type inequalities in Orlicz-Morrey spaces of an integral form

    Our aim is to give Sobolev-type inequalities for Riesz potentials of functions in Orlicz-Morrey spaces of an integral form over non-doubling metric measure spaces as an extension of T. Ohno, T. Shimomura (2022...

    Takao Ohno, Tetsu Shimomura in Czechoslovak Mathematical Journal (2023)

  7. No Access

    Article

    Sobolev-Type Inequalities on Musielak–Orlicz–Morrey Spaces of an Integral Form

    We give Sobolev-type inequalities for variable Riesz potentials \(I_{\alpha (\cdot )}f\) ...

    Takao Ohno, Tetsu Shimomura in Bulletin of the Malaysian Mathematical Sciences Society (2022)

  8. No Access

    Article

    Hardy-Sobolev inequalities and boundary growth of Sobolev functions for double phase functionals on the half space

    Our aim in this note is to establish Hardy-Sobolev inequalities for double phase functionals \(\Phi (t,r)= r^p + (b(t) r)^q\) ...

    Yoshihiro Mizuta, Tetsu Shimomura in Ricerche di Matematica (2022)

  9. No Access

    Article

    Sobolev-type inequalities on variable exponent Morrey spaces of an integral form

    The aim of this paper is to deal with the boundedness of the Hardy-Littlewood maximal operator on variable exponent Morrey spaces of an integral form. As an application of the boundedness of the maximal opera...

    Takao Ohno, Tetsu Shimomura in Ricerche di Matematica (2022)

  10. No Access

    Article

    Fractional Maximal Operator on Musielak–Orlicz Spaces Over Unbounded Quasi-Metric Measure Spaces

    The main target of this article is the boundedness of the fractional maximal operator , on Musielak–Orlicz spaces

    Yoshihiro Sawano, Tetsu Shimomura in Results in Mathematics (2021)

  11. No Access

    Article

    Sobolev type inequalities for fractional maximal functions and Green potentials in half spaces

    In this paper, we study Sobolev type inequalities for fractional maximal functions in the half space. We also discuss Sobolev type inequalities for Green potentials in the half space.

    Yoshihiro Mizuta, Tetsu Shimomura in Positivity (2021)

  12. No Access

    Article

    Trudinger’s Inequality for Double Phase Functionals with Variable Exponents

    Our aim in this paper is to establish Trudinger’s inequality on Musielak-Orlicz-Morrey spaces LΦ,κ(G) under conditions on Φ which are essentially weaker than those considered in a former paper. As an application ...

    Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno… in Czechoslovak Mathematical Journal (2021)

  13. No Access

    Article

    Campanato–Morrey spaces for the double phase functionals

    We prove that the Riesz potential operator \(I_\alpha \) I α of order \(\alpha \) α embeds from Musielak–Orlicz–Morrey spaces \(L^{\Phi ,\nu }(\mathbf{R}^N)\) L Φ , ν ( R N ) of the doub...

    Yoshihiro Mizuta, Eiichi Nakai, Takao Ohno… in Revista Matemática Complutense (2020)

  14. No Access

    Article

    Boundedness of Generalized Fractional Integral Operators on Orlicz Spaces Near L1 Over Metric Measure Spaces

    We are concerned with the boundedness of generalized fractional integral operators Iϱ,τ from Orlicz spaces LΦ(X) near L1(X) to Orlicz spaces LΨ(X) over metric measure spaces equipped with lower Ahlfors Q-regular ...

    Daiki Hashimoto, Takao Ohno, Tetsu Shimomura in Czechoslovak Mathematical Journal (2019)

  15. No Access

    Article

    Duality of central Herz–Morrey–Musielak–Orlicz spaces of variable exponents

    Our aim in this paper is to establish duality of central Herz-Morrey-Musielak-Orlicz spaces $$\mathcal {H}^{\Phi ,q(\cdot ),\omega }(\...

    Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura in Collectanea Mathematica (2019)

  16. No Access

    Article

    Maximal and Riesz Potential Operators on Musielak–Orlicz Spaces Over Metric Measure Spaces

    Our aim in this paper is to deal with the boundedness of the Hardy–Littlewood maximal operator \(M_{\lambda }\) ...

    Takao Ohno, Tetsu Shimomura in Integral Equations and Operator Theory (2018)

  17. No Access

    Article

    Variable exponent weighted norm inequality for generalized Riesz potentials on the unit ball

    Our aim in this paper is to establish variable exponent weighted norm inequalities for generalized Riesz potentials on the unit ball via norm inequalities in variable exponent non-homogeneous central Herz–Morr...

    Fumi-Yuki Maeda, Yoshihiro Mizuta, Tetsu Shimomura in Collectanea Mathematica (2018)

  18. No Access

    Article

    Boundary Behavior of Monotone Sobolev Functions in Orlicz Spaces on John Domains in a Metric Space

    This paper deals with weighted boundary limits of monotone Sobolev functions in Orlicz spaces on bounded s-John domains in a metric space.

    Toshihide Futamura, Tetsu Shimomura in The Journal of Geometric Analysis (2018)

  19. No Access

    Article

    Sobolev inequalities for Musielak–Orlicz spaces

    Our aim in this paper is to deal with Sobolev’s embeddings for Musielak–Orlicz–Sobolev functions in \(W^{1,\Phi }_0(\Omega )\) ...

    Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura in manuscripta mathematica (2018)

  20. No Access

    Article

    Duality of Non-Homogeneous Central Herz-Morrey-Musielak-Orlicz Spaces

    We determine the associate space of non-homogeneous central Herz-Morrey-Musielak-Orlicz space ...

    Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura in Potential Analysis (2017)

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