Marcinkiewicz积分交换子在变指标Herz型空间上的连续性  

The continuity for commutators of Marcinkiewicz integrals on Herz-type space with variable exponent

作　　者：王洪彬 WANG Hongbin(School of Mathematics and Statistics,Shandong University of Technology,Zibo 255049,Shandong,China;School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China)

机构地区：[1]山东理工大学数学与统计学院,山东淄博255049 [2]中国科学院大学数学科学学院,北京100049

出　　处：《中国科学院大学学报（中英文）》2020年第2期155-161,共7页Journal of University of Chinese Academy of Sciences

基　　金：Supported by Shandong Provincial Natural Science Foundation(ZR2017MA041);Shandong Province Higher Educational Science and Technology Program(J18KA225);China Postdoctoral Science Foundation(2016M601105);National Natural Science Foundation of China(11926343,11926342,11761026)。

摘　　要：研究由带粗糙核的Marcinkiewicz积分算子μΩ和Lipschitz函数b生成的交换子[b,μΩ]在变指标Herz型空间上的连续性,其中Ω∈L^s(S^n-1)且s≥1.In this paper,we study the continuity of the commutators[b,μΩ]generated by Marcinkiewicz integral operators with rough kernelsμΩand Lipschitz functions b on the Herz-type space with variable exponent,whereΩ∈L^s(S^n-1)for s≥1.

关 键 词：HERZ型空间 变指标 MARCINKIEWICZ积分 粗糙核 连续性 

分 类 号：O174.2[理学—数学]