Precompact Sets, Boundedness, and Compactness of Commutators for Singular Integrals in Variable Morrey Spaces

被引：0

作者：

Wang, Wei ^{[1
]}

Xu, Jingshi ^{[2
]}

机构：

[1] Cent South Univ Forestry & Technol, Sch Sci, Changsha 410004, Hunan, Peoples R China

[2] Hainan Normal Univ, Dept Math, Haikou 571158, Hainan, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2017年 / 2017卷

基金：

中国国家自然科学基金;

关键词：

TRIEBEL-LIZORKIN SPACES; HARDY-SPACES; BESOV-SPACES; 2-MICROLOCAL BESOV; HERZ SPACES; OPERATORS; EXPONENT;

D O I：

10.1155/2017/3764142

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give sufficient conditions for subsets to be precompact sets in variable Morrey spaces. Then we obtain the boundedness of the commutator generated by a singular integral operator and a BMO function on the variable Morrey spaces. Finally, we discuss the compactness of the commutator generated by a singular integral operator and a BMO function on the variable Morrey spaces.

引用

页数：9

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