THE BOUNDEDNESS FOR COMMUTATORS OF ANISOTROPIC CALDERóN-ZYGMUND OPERATORS

被引：1
|
作者：
李金霞 [1 ]
李宝德 [2 ]
何建勋 [1 ]
机构：
[1] School of Mathematics and Information Sciences, Guangzhou University
[2] College of Mathematics and System Science, Xinjiang University
来源：
ActaMathematicaScientia | 2020年 / 40卷 / 01期
基金：
中国国家自然科学基金;
关键词：
expansive dilation; Muckenhoupt weight; weighted Hardy space; Calderón-Zygmund operator; commutator;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
Let T be an anisotropic Calderón-Zygmund operator and φ:Rn×[0,∞)→[0,∞) be an anisotropic Musielak-Orlicz function with φ(x,·) being an Orlicz function andφ(·,t) being a Muckenhoupt A∞(A) weight.In this paper,our goal is to study two boundedness theorems for commutators of anisotropic Calderon-Zygmund operators.Precisely,when b∈BMOw(Rn,A)(a proper subspace of anisotropic bounded mean oscillation space BMO(Rn,A)),the commutator [b,T] is bounded from anisotropic weighted Hardy space Hω1(Rn,A) to weighted Lebesgue space Lω1(Rn) and when b∈BMO(Rn)(bounded mean oscillation space),the commutator [b,T] is bounded on Musielak-Orlicz space Lφ(Rn),which are extensions of the isotropic setting.
引用
收藏
页码：45 / 58
页数：14
相关论文
共 50 条
12345