Marcinkiewicz积分交换子在变指标Herz型空间上的连续性

doi:10.7523/j.issn.2095-6134.2020.02.002

中国科学院大学学报 ›› 2020, Vol. 37 ›› Issue (2): 155-161.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

王洪彬

山东理工大学数学与统计学院, 山东淄博 255049;中国科学院大学数学科学学院, 北京 100049

收稿日期:2018-08-16 修回日期:2018-12-26 发布日期:2020-03-15
通讯作者: 王洪彬
基金资助:
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)

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

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

Received:2018-08-16 Revised:2018-12-26 Published:2020-03-15
Supported by:
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)

摘要/Abstract

摘要： 研究由带粗糙核的Marcinkiewicz积分算子μ_Ω和Lipschitz函数b生成的交换子[b，μ_Ω]在变指标Herz型空间上的连续性，其中Ω∈L^s（S^n-1）且s ≥ 1.

关键词: Herz型空间, 变指标, Marcinkiewicz积分, 粗糙核, 连续性

Abstract: In this paper, we study the continuity of the commutators[b, μ_Ω] generated by Marcinkiewicz integral operators with rough kernels μ_Ω and Lipschitz functions b on the Herz-type space with variable exponent, where Ω∈L^S(S^n-1) for s ≥ 1.

Key words: Herz-type space, variable exponent, Marcinkiewicz integral, rough kernel, continuity

中图分类号:

O174.2

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.

WANG Hongbin. The continuity for commutators of Marcinkiewicz integrals on Herz-type space with variable exponent[J]. , 2020, 37(2): 155-161.

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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

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