Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent

DOI10.2969/jmsj/06020583zbMath1161.46305OpenAlexW2093456545MaRDI QIDQ930637

Yoshihiro Mizuta, Tetsu Shimomura

Publication date: 1 July 2008

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/06020583

zbMATH Keywords

maximal functionsMorrey spaceRiesz potentialsSobolev's embedding theorem 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)

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Cites Work

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• On the theory of \({\mathcal L}_{p, \lambda}\) spaces
• Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
• Continuity properties of Riesz potentials for functions in L^p(⋅) of variable exponent
• Sobolev embeddings for Riesz potential space of variable exponent
• Über konjugierte Exponentenfolgen
• On Certain Convolution Inequalities
• Maximal function on generalized Lebesgue spaces L^p(⋅)
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• On the Solutions of Quasi-Linear Elliptic Partial Differential Equations
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