On Weighted Compactness of Commutators Related with Schrodinger Operators
On Weighted Compactness of Commutators Related with Schr?dinger Operators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.