极大交换子在分层Lie群中的有界性
Boundedness of Maximal Commutators on Stratified Lie Groups
DOI: 10.12677/PM.2022.121011, PDF,  被引量    科研立项经费支持
作者: 常娇娇：牡丹江师范学院数学系，黑龙江 牡丹江
关键词: 极大函数；交换子；Lipschitz函数；Orlicz空间；分层Lie群；Maximal Function； Commutator； Lipschitz Function； Orlicz Space； Stratified Lie Group
摘要: 本文借助于Orlicz空间的相关理论与工具，在分层Lie群G中考虑了由Lipschitz函数和Hardy-Littlewood极大算子生成的交换子Mb和[b,M]的有界性。
Abstract: In this paper, the authors consider the boundedness of commutators Mb and [b,M] generated by Lipschitz function and Hardy-Littlewood maximal operator on stratified Lie groups G with the help of relevant theories and tools of Orlicz space.
文章引用：常娇娇. 极大交换子在分层Lie群中的有界性[J]. 理论数学, 2022, 12(1): 80-87. https://doi.org/10.12677/PM.2022.121011

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