On Weighted Compactness of Commutators Related with Schrodinger Operators

被引：3

作者：

He, Qian Jun ^{[1
]}

Li, Peng Tao ^{[2
]}

机构：

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

[2] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2022年 / 38卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Commutators; compactness; Schrodinger operators; weight functions; INTEGRAL-OPERATORS; NORM INEQUALITIES; HOMOGENEOUS TYPE; BOUNDEDNESS; SPACES;

D O I：

10.1007/s10114-022-1081-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let L = -Delta+ V be a Schrodinger operator, where Delta is the Laplacian operator on R-d (d >= 3), while the nonnegative potential V belongs to the reverse Holder class B-q,B- q > d/2. In this paper, we study weighted compactness of commutators of some Schrodinger operators, which include Riesz transforms, standard Calderon-Zygmund operators and Littlewood-Paley functions. These results substantially generalize some well-known results.

引用

页码：1015 / 1040

页数：26

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