Sobolev's inequality for Riesz potentials of functions in Morrey spaces of integral form

被引：18

作者：

Mizuta, Yoshihiro ^{[2
]}

Shimomura, Tetsu ^{[1
]}

机构：

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

[2] Hiroshima Univ, Fac Integrated Arts & Sci, Div Math & Informat Sci, Higashihiroshima 7398521, Japan

来源：

MATHEMATISCHE NACHRICHTEN | 2010年 / 283卷 / 09期

关键词：

Riesz potentials; maximal functions; Sobolev's inequality; Morrey spaces;

D O I：

10.1002/mana.200710122

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Morrey spaces have become a good tool for the study of existence and regularity of solutions of partial differential equations. Our aim in this paper is to give Sobolev's inequality for Riesz potentials of functions in Morrey spaces. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：1336 / 1352

页数：17

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