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›› 2020, Vol. 37 ›› Issue (2): 155-161.DOI: 10.7523/j.issn.2095-6134.2020.02.002

• Research Articles • Previous Articles     Next Articles

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 Online: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.

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

CLC Number: