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Characterizations of commutators of the Hardy-Littlewood maximal function on Triebel-Lizorkin spaces

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Abstract

We study the mapping property of the commutator of Hardy-Littlewood maximal function on Triebel-Lizorkin spaces. Also, some new characterizations of the Lipschitz spaces are given.

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Authors and Affiliations

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou, 730070, P. R. China

    Guanghui Lu

  2. School of Mathematics and Statistics, Anhui Normal University, Wuhu, 241002, P. R. China

    Dinghuai Wang

Authors
  1. Guanghui Lu
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  2. Dinghuai Wang
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Correspondence to Dinghuai Wang.

Additional information

This work was supported by the Natural Science Foundation of Anhui Province (No. 2108085QA19) and the National Natural Science Foundation of China (Nos. 12101010, 12201500).

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Lu, G., Wang, D. Characterizations of commutators of the Hardy-Littlewood maximal function on Triebel-Lizorkin spaces. Czech Math J 73, 513–524 (2023). https://doi.org/10.21136/CMJ.2023.0116-22

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  • DOI: https://doi.org/10.21136/CMJ.2023.0116-22

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