Open Access
2009 Continuity properties of Riesz potentials of Orlicz functions
Yoshihiro Mizuta, Tetsu Shimomura
Tohoku Math. J. (2) 61(2): 225-240 (2009). DOI: 10.2748/tmj/1245849445

Abstract

In this paper we are concerned with Sobolev type inequalities for Riesz potentials of functions in Orlicz classes. As an application, we study continuity properties of Riesz potentials.

Citation

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Yoshihiro Mizuta. Tetsu Shimomura. "Continuity properties of Riesz potentials of Orlicz functions." Tohoku Math. J. (2) 61 (2) 225 - 240, 2009. https://doi.org/10.2748/tmj/1245849445

Information

Published: 2009
First available in Project Euclid: 24 June 2009

zbMATH: 1181.46026
MathSciNet: MR2541407
Digital Object Identifier: 10.2748/tmj/1245849445

Subjects:
Primary: 46E35
Secondary: 31B15

Rights: Copyright © 2009 Tohoku University

Vol.61 • No. 2 • 2009
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