分数次极大交换子在分层Lie群中的有界性  

Boundedness of Fractional Maximal Commutator in Stratified Lie Groups

作　　者：田晓娇 

机构地区：[1]牡丹江师范学院数学系,黑龙江 牡丹江

出　　处：《理论数学》2022年第12期2209-2216,共8页Pure Mathematics

摘　　要：本文借助于广义Morrey空间的相关的理论与工具,在分层Lie群中考虑了由Lipschitz函数和分数次极大算子Mα生成的交换子Mα,b、[b,Mα]在广义Morrey空间中的有界性。In this paper, the main aim is to consider the boundedness of commutator Mα,b and [b,Mα] generated by Lipschitz function b and the fractional maximal operator Mα on stratified Lie group G with the help of relevant theories and tools of Generalized Morrey space.

关 键 词：分数次极大算子 交换子 广义MORREY空间 LIPSCHITZ空间 分层Lie群 

分 类 号：O152.5[理学—数学]