Marcinkiewicz积分交换子在变指标Herz Triebel-Lizorkin空间的有界性  

Boundedness of commutators for the Marcinkiewicz integral operators on Herz Triebel-Lizorkin spaces with variable exponent

作　　者：韦营营 张婧 WEI Ying-ying;ZHANG Jing(College of Mathematics and Statistics,Yili Normal University,Yining 835000,Xinjiang,China)

机构地区：[1]伊犁师范大学数学与统计学院,新疆伊宁835000

出　　处：《山东大学学报（理学版）》2022年第12期55-63,共9页Journal of Shandong University(Natural Science)

基　　金：新疆维吾尔自治区自然科学基金资助项目(2021D01C463)。

摘　　要：通过两个算子族和Peetre极大函数及Hardy-Littlewood极大算子在向量值函数空间上的有界性建立了变指标Herz Triebel-Lizorkin空间范数的等价刻画,并由此得到Marcinkiewicz积分交换子在变指标Herz Triebel-Lizorkin空间上的有界性结果。An equivalent characterization of the norm for Herz Triebel-Lizorkin spaces with variable exponent is established by means of two operator families, Peetre maximal functions and the boundedness of Hardy-Littlewood maximal operators on vector-valued function spaces. Based on the result, the boundedness of commutators for the Marcinkiewicz integral operators on Herz Triebel-Lizorkin spaces with variable exponent is proved.

关 键 词：交换子 MARCINKIEWICZ积分算子 变指标Herz Triebel-Lizorkin空间 

分 类 号：O174.2[理学—数学]