Tohoku Mathematical Journal

Continuity properties of Riesz potentials of Orlicz functions

Yoshihiro Mizuta and Tetsu Shimomura

Source: Tohoku Math. J. (2) Volume 61, Number 2 (2009), 225-240.

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.

Primary Subjects: 46E35
Secondary Subjects: 31B15

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.tmj/1245849445
Digital Object Identifier: doi:10.2748/tmj/1245849445
Zentralblatt MATH identifier: 05608372
Mathematical Reviews number (MathSciNet): MR2541407

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