JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (12): 55-63.doi: 10.6040/j.issn.1671-9352.0.2021.656

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Boundedness of commutators for the Marcinkiewicz integral operators on Herz Triebel-Lizorkin spaces with variable exponent

WEI Ying-ying, ZHANG Jing*   

  1. College of Mathematics and Statistics, Yili Normal University, Yining 835000, Xinjiang, China
  • Published:2022-12-05

Abstract: An equivalent characterization of the norm for Herz Triebel-Lizorkin spaces with variable exponent is established by means of two operator families, Peetre maximal functions and the boundedness of Hardy-Littlewood maximal operators on vector-valued function spaces. Based on the result, the boundedness of commutators for the Marcinkiewicz integral operators on Herz Triebel-Lizorkin spaces with variable exponent is proved.

Key words: commutators, Marcinkiewicz integral operators, Herz Triebel-Lizorkin spaces with variable exponent

CLC Number: 

  • O174.2
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