Open Access
Winter 2007 Vanishing exponential integrability for Riesz potentials of functions in Orlicz classes
Yoshihiro Mizuta, Tetsu Shimomura
Illinois J. Math. 51(4): 1039-1060 (Winter 2007). DOI: 10.1215/ijm/1258138531

Abstract

Our aim in this paper is to show the vanishing exponential integrability for Riesz potentials of functions in Orlicz classes, as an improvement of continuity results of Sobolev functions. We also show the vanishing double exponential integrability.

Citation

Download Citation

Yoshihiro Mizuta. Tetsu Shimomura. "Vanishing exponential integrability for Riesz potentials of functions in Orlicz classes." Illinois J. Math. 51 (4) 1039 - 1060, Winter 2007. https://doi.org/10.1215/ijm/1258138531

Information

Published: Winter 2007
First available in Project Euclid: 13 November 2009

zbMATH: 1152.31003
MathSciNet: MR2417414
Digital Object Identifier: 10.1215/ijm/1258138531

Subjects:
Primary: 31B15
Secondary: 46E30 , 46E35

Rights: Copyright © 2007 University of Illinois at Urbana-Champaign

Vol.51 • No. 4 • Winter 2007
Back to Top