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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 \({M_{\mathbb{H},\nu }}f\) ...
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Article
Generalized fractional maximal operators on Musielak-Orlicz-Morrey spaces
We prove the boundedness of the generalized fractional maximal operator \(M_{\rho }\)
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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 \(I_{\alpha (\cdot ),\tau }f\) ...
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Article
Hardy–Littlewood–Sobolev Theorem for Variable Riesz Potentials
We study Hardy–Littlewood–Sobolev theorem for variable Riesz potentials \(I_{\alpha (\cdot )}f\) ...
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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 \(W_0^{1, \Phi }(\textbf{R}^N)\) ...
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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...
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Article
Sobolev-Type Inequalities on Musielak–Orlicz–Morrey Spaces of an Integral Form
We give Sobolev-type inequalities for variable Riesz potentials \(I_{\alpha (\cdot )}f\) ...
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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 \(\Phi (t,r)= r^p + (b(t) r)^q\) ...
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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...
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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
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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.
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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 ...
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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...
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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 ...
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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 }(\...
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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 \(M_{\lambda }\) ...
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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...
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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.
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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 \(W^{1,\Phi }_0(\Omega )\) ...
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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 ...