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

  • WANG Hongbin
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  • 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 date: 2018-08-16

  Revised date: 2018-12-26

  Online 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)

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.

Cite this article

WANG Hongbin . The continuity for commutators of Marcinkiewicz integrals on Herz-type space with variable exponent[J]. Journal of University of Chinese Academy of Sciences, 2020 , 37(2) : 155 -161 . DOI: 10.7523/j.issn.2095-6134.2020.02.002

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