On the Commutators of Marcinkiewicz Integrals with Rough Kernels in Weighted Lebesgue Spaces

被引：0
|
作者：
Y.-M. Wen
H.-X. Wu
机构：
[1] Minnan Normal University,School of Mathematics and Statistic
[2] Xiamen University,School of Mathematical Sciences
来源：
Analysis Mathematica | 2020年 / 46卷
关键词：
Marcinkiewicz integral; commutator; rough kernel; BMO; CMO; boundedness; compactness; 42B20; 42B25; 42B99;
D O I：
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中图分类号：
学科分类号：
摘要：
This paper is devoted to studying the boundedness and compactness of commutators for Marcinkiewicz integrals with rough kernels in weighted Lebesgue spaces. The characterized theorems on the boundedness and compactness for such commutators are established, respectively. We improve and extend the previous results. Meanwhile, the quantitative weighted bounds for the commutator of Marcinkiewicz integral is also obtained.
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页码：619 / 638
页数：19
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