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On Weighted Compactness of Commutators Related with Schrodinger Operators

On Weighted Compactness of Commutators Related with Schr?dinger Operators

作     者:Qian Jun HE Peng Tao LI Qian Jun HE;Peng Tao LI

作者机构:School of Applied ScienceBeijing Information Science and Technology UniversityBeijing 100192P.R.China School of Mathematics and StatisticsQingdao UniversityQingdao 266071P.R.China 

出 版 物:《Acta Mathematica Sinica,English Series》 (数学学报(英文版))

年 卷 期:2022年第38卷第6期

页      面:1015-1040页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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) 

主  题:Commutators compactness Schr?dinger operators weight functions 

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),qd/*** this paper,we study weighted compactness of commutators of some Schrodinger operators,which include Riesz transforms,standard Calderón-Zygmund operators and Littlewood-Paley *** results substantially generalize some well-known results.

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