Boundedness of maximal operators and Sobolev's theorem for non-homogeneous central Morrey spaces of variable exponent

被引：1

作者：

Mizuta, Yoshihiro ^{[1
]}

Ohno, Takao ^{[2
]}

Shimomura, Tetsu ^{[3
]}

机构：

[1] Hiroshima Inst Technol, Dept Mech Syst Engn, Saeki Ku, Hiroshima 7315193, Japan

[2] Oita Univ, Fac Educ & Welf Sci, Oita 8701192, Japan

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

来源：

HOKKAIDO MATHEMATICAL JOURNAL | 2015年 / 44卷 / 02期

基金：

日本学术振兴会;

关键词：

Maximal operator; non-homogeneous central Morrey spaces of variable exponent; Riesz potentials; Sobolev's theorem; Sobolev's inequality; Trudinger's exponential integrability; HARDY-SPACES;

D O I：

暂无

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 in non-homogeneous central Morrey spaces of variable exponent. Further, we give Sobolev's inequality and Trudinger's exponential integrability for generalized Riesz potentials.

引用

页码：185 / 201

页数：17

共 22 条

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