Maximal and Riesz Potential Operators on Musielak-Orlicz Spaces Over Metric Measure Spaces

被引：17

作者：

Ohno, Takao ^{[1
]}

Shimomura, Tetsu ^{[2
]}

机构：

[1] Oita Univ, Fac Educ, Oita 8701192, Japan

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

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2018年 / 90卷 / 06期

基金：

日本学术振兴会;

关键词：

Maximal functions; Riesz potentials; Musielak-Orlicz spaces; Sobolev's inequality; Metric measure space; Lower Ahlfors regular; SOBOLEV EMBEDDINGS; GENERALIZED LEBESGUE; VARIABLE EXPONENT; MORREY SPACES; INEQUALITIES; FUNCTIONALS; INTEGRABILITY; BOUNDEDNESS; REGULARITY;

D O I：

10.1007/s00020-018-2484-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our aim in this paper is to deal with the boundedness of the Hardy-Littlewood maximal operator M on Musielak-Orlicz spaces L phi(X) over bounded metric measure spaces. As an application of the boundedness of M, we establish a generalization of Sobolev's inequality for Riesz potentials I(),f with f is an element of L-Phi (X).

引用

页数：18

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