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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

• 数学与物理学 • 上一篇    下一篇

Marcinkiewicz积分交换子在变指标Herz型空间上的连续性

王洪彬   

  1. 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   

  1. 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: 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∈LsSn-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, μΩ] generated by Marcinkiewicz integral operators with rough kernels μΩ and Lipschitz functions b on the Herz-type space with variable exponent, where Ω∈LS(Sn-1) for s ≥ 1.

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

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