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.
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页数：9
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