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Mathematics > Functional Analysis

arXiv:2210.01289 (math)
[Submitted on 4 Oct 2022]

Title:The boundedness of commutators of sublinear operators on Herz Triebel-Lizorkin spaces with variable exponent

Authors:Chenglong Fang, Yingying Wei, Jing Zhang
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Abstract:In this paper, the authors first discuss the characterization of Herz Triebel-Lizorkin spaces with variable exponent via two families of operators. By this characterization, the authors prove that the Lipschitz commutators of sublinear operators is bounded from Herz spaces with variable exponent to Herz Triebel-Lizorkin spaces with variable exponent. As an application, the corresponding boundedness estimates for the commutators of maximal operator, Riesz potential operator and Calderón-Zygmund operator are established.
Comments: commutator; sublinear operator; Lipschitz spaces; Herz Triebel-Lizorkin spaces; variable exponent
Subjects: Functional Analysis (math.FA)
Cite as: arXiv:2210.01289 [math.FA]
  (or arXiv:2210.01289v1 [math.FA] for this version)
  https://doi.org/10.48550/arXiv.2210.01289

Submission history

From: Chenglong Fang [view email]
[v1] Tue, 4 Oct 2022 00:23:26 UTC (13 KB)
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