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.
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页码：1015 / 1040
页数：26
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