arXiv:2205.06529 Abstract | arXiv Analytics

arXiv:2205.06529 [math.FA]Abstract References Reviews Resources

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

Published 2022-05-13Version 1

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.

Comments: arXiv admin note: text overlap with arXiv:1612.00968 by other authors

Categories: math.FA

Subjects: 42B35, 43A80

Keywords: stratified lie group, maximal function, lipschitz functions, characterization, lipschitz space

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