On Weighted Compactness of Commutators Related with Schrodinger Operators  

作　　者：Qian Jun HE Peng Tao LI 

机构地区：[1]School of Applied Science,Beijing Information Science and Technology University,Beijing 100192,P.R.China [2]School of Mathematics and Statistics,Qingdao University,Qingdao 266071,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2022年第6期1015-1040,共26页数学学报（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11871293,11871452,12071473,12071272);Shandong Natural Science Foundation of China(Grant No.ZR2017JL008)。

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

关 键 词：COMMUTATORS COMPACTNESS Schr?dinger operators weight functions 

分 类 号：O177[理学—数学]