On weighted boundedness and compactness of commutators of Marcinkiewicz integral associated with Schrodinger operators

被引：3

作者：

Zhang, Juan ^{[1
]}

He, Qianjun ^{[2
]}

Xue, Qingying ^{[3
]}

机构：

[1] Beijing Forestry Univ, Sch Sci, Beijing 100083, Peoples R China

[2] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China

[3] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2023年 / 14卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Commutators; Weighted compactness; Schrodinger operator; Marcinkiewicz integral; Maximal operator; L-P-BOUNDEDNESS; NORM INEQUALITIES; ORDER COMMUTATORS; HOMOGENEOUS TYPE; SPACES;

D O I：

10.1007/s43034-023-00281-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to studying the weighted boundedness and compactness of commutators of Marcinkiewicz integral related to Schrodinger operators. We show that the commutators of Marcinkiewicz integral related to Schrodinger operators with pointwise multiplication with functions in BMO(s) space are weighted L-p(p > 1) bounded and with functions in CMO(s) space are compact operators when acting on weighted Lebesgue spaces. As a byproduct, the weighted compactness of commutators of maximal operator associated with Schrodinger operators is given. Here BMO(s) is a function space which is larger than the classical BMO space and CMO(s) denotes the closure of C-c(8)(R-d) in the BMO(s)topology.

引用

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