Vanishing exponential integrability for Riesz potentials of functions in Orlicz classes
type: Item
instance of: scholarly article
title: Vanishing exponential integrability for Riesz potentials of functions in Orlicz classes
zbMATH Open document ID: 1152.31003
author: Yoshihiro Mizuta
author: Tetsu Shimomura
published in: Illinois Journal of Mathematics
publication date: 2008-08-27T00:00:00Z
review text: The exponential integrability of Riesz potentials \[ R\alpha f(x)=\int_{\mathbb{R}^n} | x-y| ^{\alpha -n} f(y) dy, \qquad x \in\mathbb{R}^n, \] is investigated. Vanishing exponential integrability of \(R\alpha f\) is established for functions \(f\) satisfying certain Orlicz conditions. Previous related results of Adams and Hurri-Syrjänen are improved.
reviewed by: Boris Rubin
Mathematics Subject Classification ID: 31B15
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 5317035
zbMATH Keywords: exponential integrability
zbMATH Keywords: Riesz potentials
zbMATH Keywords: Orlicz spaces
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5317035