Osaka Journal of Mathematics

Sobolev's inequality for Riesz potentials of functions in non-doubling Morrey spaces

Yoshihiro Mizuta, Tetsu Shimomura, and Takuya Sobukawa
Source: Osaka J. Math. Volume 46, Number 1 (2009), 255-271.

Abstract

Our aim in this paper is to give Sobolev's inequality and Trudinger exponential integrability for Riesz potentials of functions in non-doubling Morrey spaces.

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Primary Subjects: 31B15, 46E35
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.ojm/1235574047
Mathematical Reviews number (MathSciNet): MR2277839
Zentralblatt MATH identifier: 05543719

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