一类Schrdinger型算子在Herz-Morrey空间上的有界性  

Boundedness of a class of Schrdinger type operators on Herz-Morrey spaces

作　　者：方小珍 孙爱文 束立生 Fang Xiaozhen;Sun Aiwen;Shu Lisheng(School of Mathematics and Statistics,Anhui Normal University,Wuhu 241003,China)

机构地区：[1]安徽师范大学数学与统计学院,安徽芜湖241003

出　　处：《纯粹数学与应用数学》2018年第3期272-281,共10页Pure and Applied Mathematics

基　　金：国家自然科学基金(11471033);安徽省高校自然科学研究项目(KJ2017 ZD27)

摘　　要：考虑了一类Schrdinger型算子Tβ及其交换子的有界性问题.基于其在经典Lebesgue空间上的有界性,利用分环技巧对Tβ及其与b(b∈BMO_σ(ρ))生成的交换子[b,Tβ]进行估计,得到了它们在Herz-Morrey空间上的有界性.In this paper,we considered the boundedness of a class of Schrodinger type operator Tβand its commutator[b;Tβ].Based on the boundedness of the operator Tβon Lebesgue space,we estimated the boundedness of the operator Tβand the commutator generated by Tβandb(b∈BMOσ(ρ))by means of sub ring technique,and obtained the boundedness of them on Herz-Morrey space.

关 键 词：SCHRODINGER算子 非负位势 交换子 HERZ-MORREY空间 

分 类 号：O174.2[理学—数学]