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Czechoslovak Mathematical Journal, Vol. 73, No. 2, pp. 513-524, 2023

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

Guanghui Lu, Dinghuai Wang

Received March 18, 2022.   Published online March 20, 2023.
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.
Keywords:  characterization; commutator; Hardy-Littlewood maximal function; Lipschitz space; Triebel-Lizorkin space
Classification MSC:  42B25, 47B25, 47B47
DOI:  10.21136/CMJ.2023.0116-22
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Affiliations:   Guanghui Lu, College of Mathematics and Statistics, Northwest Normal University, Lanzhou, 730070, P. R. China, e-mail: lghwmm1989@126.com; Dinghuai Wang (corresponding author), School of Mathematics and Statistics, Anhui Normal University, Wuhu, 241002, P. R. China, e-mail: Wangdh1990@126.com
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