Commutators of the maximal and sharp functions with weighted Lipschitz functions
Classical Analysis and ODEs
2024-01-17 v2 Analysis of PDEs
Functional Analysis
Abstract
Let be the Hardy-Littlewood maximal function. Denote by and the maximal and the nonlinear commutators of with a function . The boundedness of and on weighted Lebesgue spaces are characterized when the symbols belong to weighted Lipschitz (weighted Morrey-Campanato) spaces. Some new characterizations for weighted Lipschitz spaces are obtained. Similar results are also established for the nonlinear commutator of the sharp function.
Cite
@article{arxiv.2307.15500,
title = {Commutators of the maximal and sharp functions with weighted Lipschitz functions},
author = {Pu Zhang and Xiaomeng Zhu},
journal= {arXiv preprint arXiv:2307.15500},
year = {2024}
}