Open Access
March 2009 Sobolev's inequality for Riesz potentials of functions in non-doubling Morrey spaces
Yoshihiro Mizuta, Tetsu Shimomura, Takuya Sobukawa
Osaka J. Math. 46(1): 255-271 (March 2009).

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.

Citation

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Yoshihiro Mizuta. Tetsu Shimomura. Takuya Sobukawa. "Sobolev's inequality for Riesz potentials of functions in non-doubling Morrey spaces." Osaka J. Math. 46 (1) 255 - 271, March 2009.

Information

Published: March 2009
First available in Project Euclid: 25 February 2009

zbMATH: 1186.31003
MathSciNet: MR2277839

Subjects:
Primary: 31B15 , 46E35

Rights: Copyright © 2009 Osaka University and Osaka City University, Departments of Mathematics

Vol.46 • No. 1 • March 2009
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