吴翠兰,束立生.θ 型 Calder´on–Zygmund 算子交换子在加权 Morrey 空间上的有界性*[J].数学年刊A辑,2022,43(2):201~212
θ 型 Calder´on–Zygmund 算子交换子在加权 Morrey 空间上的有界性*
Boundedness for Commutators of θ-Type Calder´on–Zygmund Operators on Weighted Morrey Spaces
Received:August 31, 2020  Revised:June 27, 2021
DOI:10.16205/j.cnki.cama.2022.0013
中文关键词:  θ 型 Calder´on–Zygmund 算子, 交换子, 加权Morrey空间, Ap
英文关键词:θ-Type Calder´on–Zygmund operator, Commutator, Weighted Morrey space, Ap weight
基金项目:江苏省自然科学基金(No.SBK20161158)
Author NameAffiliation
WU Cuilan School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, Jiangsu, China. 
SHU Lisheng School of Mathematics and Statistics, Anhui Normal University, Wuhu 241003,Anhui, China. 
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中文摘要:
      设 T 是一个 θ 型 Calder′on–Zygmund 算子. 本文利用Sharp极大函数估计的方法,借助交换子[b,T]在 Lp 空间上的有界性, 证明当权函数 ω 满足一定条件时,[b,T] 在加权Morrey 空间上的有界性质, 其中 b 属于 Lipschitz空间和加权Lipschitz空间.
英文摘要:
      Let T be a θ-type Calder′on–Zygmund operator. In this paper, the authors will use sharp maximal function estimates to show some boundedness properties of commutators [b, T ] on weighted Morrey spaces under appropriate conditions on the weight ω, where b belong to Lipschitz spaces and weighted Lipschitz spaces.
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