Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in Rn

被引：0

作者：

Mizuta, Yoshihiro ^{[2
]}

Nakai, Eiichi ^{[3
]}

Ohno, Takao ^{[1
]}

Shimomura, Tetsu ^{[4
]}

机构：

[1] Oita Univ, Fac Educ & Welf Sci, Dannoharu Oita City 8701192, Japan

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

[3] Ibaraki Univ, Dept Math, Mito, Ibaraki 3108512, Japan

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

来源：

REVISTA MATEMATICA COMPLUTENSE | 2012年 / 25卷 / 02期

关键词：

Maximal functions; Musielak-Orlicz-Morrey space of variable exponent; Riesz potential; Sobolev embeddings; Sobolev's inequality; GENERALIZED LEBESGUE SPACES; CONTINUITY PROPERTIES; INTEGRAL-OPERATORS; BOUNDEDNESS; INEQUALITIES; EQUATIONS;

D O I：

10.1007/s13163-011-0074-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our aim in this paper is to deal with Sobolev embeddings for Riesz potentials of variable order with functions in variable exponent Musielak-Orlicz-Morrey spaces.

引用

页码：413 / 434

页数：22

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