Open Access
Summer 2012 Exponential integrability of Riesz potentials of Orlicz functions
Yoshihiro Mizuta, Tetsu Shimomura
Illinois J. Math. 56(2): 507-520 (Summer 2012). DOI: 10.1215/ijm/1385129961

Abstract

In this paper, we are concerned with exponential integrability for Riesz potentials of functions in Orlicz spaces $\Phi_{p,\varphi}(L,\textbf{R} ^{n})$. As an application, we study exponential integrability for BLD (Beppo Levi and Deny) functions.

Citation

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Yoshihiro Mizuta. Tetsu Shimomura. "Exponential integrability of Riesz potentials of Orlicz functions." Illinois J. Math. 56 (2) 507 - 520, Summer 2012. https://doi.org/10.1215/ijm/1385129961

Information

Published: Summer 2012
First available in Project Euclid: 22 November 2013

zbMATH: 1281.46035
MathSciNet: MR3161337
Digital Object Identifier: 10.1215/ijm/1385129961

Subjects:
Primary: 46E35
Secondary: 31B15

Rights: Copyright © 2012 University of Illinois at Urbana-Champaign

Vol.56 • No. 2 • Summer 2012
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