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Characterization of Lipschitz Spaces via Commutators of Maximal Function on the p-Adic Vector Space

Qianjun He, Xiang Li and Humberto Rafeiro

Journal of Mathematics, 2022, vol. 2022, 1-15

Abstract: In this paper, we give characterization of a p-adic version of Lipschitz spaces in terms of the boundedness of commutators of maximal function in the context of the p-adic version of Lebesgue spaces and Morrey spaces, where the symbols of the commutators belong to the Lipschitz spaces. A useful tool is a Lipschitz norm involving the John-Nirenberg-type inequality for homogeneous Lipschitz functions, which is new in the p-adic field context.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7430272

DOI: 10.1155/2022/7430272

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