Sparse domination for singular integral operators and their commutators in Dunkl setting with applications
Classical Analysis and ODEs
2025-05-27 v1
Abstract
In this paper, we establish sparse dominations for the Dunkl-Calder\'on-Zygmund operators and their commutators in the Dunkl setting. As applications, we first define the Dunkl-Muckenhoupt weight and obtain the weighted bounds for the Dunkl-Calder\'on-Zygmund operators, as well as the two-weight bounds for their commutators. Moreover, we also obtain the boundedness of the Dunkl-Calder\'on-Zygmund operators on the extrapolation space of a family of Banach function spaces.
Cite
@article{arxiv.2505.18974,
title = {Sparse domination for singular integral operators and their commutators in Dunkl setting with applications},
author = {Yanping Chen and Xueting Han},
journal= {arXiv preprint arXiv:2505.18974},
year = {2025}
}