CONTINUITY PROPERTIES OF RIESZ POTENTIALS OF ORLICZ FUNCTIONS

被引：24

作者：

Mizuta, Yoshihiro ^{[1
]}

Shimomura, Tetsu ^{[2
]}

机构：

[1] Hiroshima Univ, Grad Sch Sci, Dept Math, Higashihiroshima 7398521, Japan

[2] Hiroshima Univ, Grad Sch Educ, Dept Math, Higashihiroshima 7398524, Japan

来源：

TOHOKU MATHEMATICAL JOURNAL | 2009年 / 61卷 / 02期

关键词：

VANISHING EXPONENTIAL INTEGRABILITY; INEQUALITIES; SPACES;

D O I：

10.2748/tmj/1245849445

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：225 / 240

页数：16

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