The boundedness of commutators of sublinear operators on Herz Triebel-Lizorkin spaces

Chenglong Fang () and Jiang Zhou
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Chenglong Fang: Renmin University of China
Jiang Zhou: Xinjiang University

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 2, 375-383

Abstract: Abstract In this paper, the authors first prove the characterizations of Herz Triebel-Lizorkin spaces by two families of operators. Applying the characterizations of Herz Triebel-Lizorkin spaces, the author show that the commutators of sublinear operators with Lipschitz functions are also bounded from Herz spaces to Herz Triebel-Lizorkin spaces.

Keywords: commutator; Lipschitz space; Herz space; Triebel-Lizorkin space; sublinear operator; 42B20; 42B25; 47B47 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00127-3

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