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arXiv · 2206.08340

Some estimates for commutators of the fractional maximal function on stratified Lie groups

J. Wu·W. Zhao
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Abstract

In this paper, the main aim is to consider the boundedness of the fractional maximal commutator $M_{\alpha,b}$ and the nonlinear commutator $[b, M_{\alpha}]$ on the Lebesgue 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

J. Wu, W. Zhao. 2022-06-01. Some estimates for commutators of the fractional maximal function on stratified Lie groups. https://arxiv.org/abs/2206.08340

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