中国科学院大学学报2020,Vol.37Issue(2):155-161,7.DOI:10.7523/j.issn.2095-6134.2020.02.002
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
摘要
Abstract
In this paper,we study the continuity of the commutators [b,μΩ] generated by Marcinkiewicz integral operators with rough kernelsμΩ and Lipschitz functions b on the Herz-type space with variable exponent,where Ω ∈ Ls(Sn-1) fors ≥ 1.关键词
Herz型空间/变指标/Marcinkiewicz积分/粗糙核/连续性Key words
Herz-type space/variable exponent/Marcinkiewicz integral/rough kernel/continuity分类
数理科学引用本文复制引用
王洪彬..Marcinkiewicz积分交换子在变指标Herz型空间上的连续性[J].中国科学院大学学报,2020,37(2):155-161,7.基金项目
Supported by Shandong Provincial Natural Science Foundation (ZR2017MA041),Shandong Province Higher Educational Science and Technology Program (J18KA225),China Postdoctoral Science Foundation (2016M601105) and National Natural Science Foundation of China(11926343,11926342,11761026) (ZR2017MA041)