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arXiv · 2205.06529

Characterization of Lipschitz Functions via the Commutators of Maximal Function on Stratified Lie Groups

JL Wu·WJ Zhao
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Abstract

In this paper, the main aim is to consider the boundedness of the Hardy-Littlewood maximal commutator $M_{b}$ and the nonlinear commutator $[b, M]$ on the Lebesgue spaces and Morrey spaces over some stratified Lie group $\mathbb{G}$ when $b$ belongs to the Lipschitz space, by which some new characterizations of the Lipschitz spaces on Lie group are given.

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BibTeXRIS

JL Wu, WJ Zhao. 2022-05-13. Characterization of Lipschitz Functions via the Commutators of Maximal Function on Stratified Lie Groups. https://arxiv.org/abs/2205.06529

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