Hardy-Littlewood分数次极大函数的交换子在Triebel-Lizorkin空间上的刻画  

Characterization of commutators of Hardy-Littlewood fractionalmaximal functions on Triebel-Lizorkin space

作　　者：赵楠 周疆[1] ZHAO Nan;ZHOU Jiang(College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,China)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《东北师大学报（自然科学版）》2020年第2期19-25,共7页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11661075,11826202).

摘　　要：给出了由Hardy-Littlewood分数次极大函数和Lipschitz函数生成的交换子在Triebel-Lizorkin空间上的刻画,并且给出了在Lipschitz空间一些新的刻画.A description of the commutators generated by Hardy-Littlewood fractional maximal function and Lipschitz function is given on the Triebel-Lizorkin space,and also some new characterizations in the Lipschitz space are shown,where the commutators in this paper also include high order commutators and bilinear commutators.

关 键 词：交换子 HARDY-LITTLEWOOD极大函数 LIPSCHITZ空间 LEBESGUE空间 Triebel-Lizorkion空间 

分 类 号：O174.2[理学—数学]