Continuity properties for Riesz potentials of functions in Morrey spaces of variable exponent

DOI10.7153/mia-13-08zbMath1184.31005OpenAlexW2321150678MaRDI QIDQ5189750

Publication date: 11 March 2010

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-13-08

zbMATH Keywords

Sobolev's embedding theorem continuity of Riesz potentials Morrey spaces of variable exponent

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (17)

Trudinger's inequality and continuity for Riesz potentials of functions in grand Musielak-Orlicz-Morrey spaces over nondoubling metric measure spaces ⋮ Sobolev-type inequalities on variable exponent Morrey spaces of an integral form ⋮ Boundedness of operators and inequalities on Morrey-Banach spaces ⋮ Generalized fractional integral operators on variable exponent Morrey spaces of an integral form ⋮ Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in \(\mathbb{R}^n\) ⋮ Definability of singular integral operators on Morrey-Banach spaces ⋮ Sobolev embeddings for Riesz potentials of functions in non-doubling Morrey spaces of variable exponents ⋮ Atomic decompositions of Hardy spaces with variable exponents and its application to bounded linear operators ⋮ Trudinger's inequality and continuity of potentials on Musielak-Orlicz-Morrey spaces ⋮ Hardy spaces with variable exponents and generalized Campanato spaces ⋮ Trudinger's inequality and continuity for Riesz potentials of functions in Musielak-Orlicz-Morrey spaces on metric measure spaces ⋮ Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent ⋮ Weak type estimates of the fractional integral operators on Morrey spaces with variable exponents ⋮ Fractional integral operators on Borel-Morrey spaces with q ≤ p ⋮ Sobolev's inequality for Riesz potentials of functions in Morrey spaces of integral form ⋮ Sobolev's inequality for Riesz potentials of functions in non-doubling Morrey spaces ⋮ Hardy spaces with variable exponents on RD-spaces and applications

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