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

Yoshihiro MIZUTA; Tetsu SHIMOMURA

doi:10.2969/jmsj/06020583

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Home > Journals > J. Math. Soc. Japan > Volume 60 > Issue 2 > Article

April, 2008 Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent

Yoshihiro MIZUTA, Tetsu SHIMOMURA

J. Math. Soc. Japan 60(2): 583-602 (April, 2008). DOI: 10.2969/jmsj/06020583

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Abstract

Our aim in this paper is to deal with Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent.

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Yoshihiro MIZUTA. Tetsu SHIMOMURA. "Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent." J. Math. Soc. Japan 60 (2) 583 - 602, April, 2008. https://doi.org/10.2969/jmsj/06020583

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Published: April, 2008

First available in Project Euclid: 30 May 2008

zbMATH: 1161.46305

MathSciNet: MR2421989

Digital Object Identifier: 10.2969/jmsj/06020583

Subjects:

Primary: 46E35

Secondary: 31B15

Keywords: maximal functions , Morrey space , Riesz potentials , Sobolev's embedding theorem of variable exponent

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J. Math. Soc. Japan

Vol.60 • No. 2 • April, 2008

Mathematical Society of Japan

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Yoshihiro MIZUTA, Tetsu SHIMOMURA "Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent," Journal of the Mathematical Society of Japan, J. Math. Soc. Japan 60(2), 583-602, (April, 2008)

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