Homogeneous Besov Spaces in Dunkl setting
Classical Analysis and ODEs
2025-01-22 v3
Abstract
The purpose of this paper is to characterize the homogeneous Besov space in the Dunkl setting. We utilize a new discrete reproducing formula, that is, the building blocks are differences of the Dunkl-Poisson kernel which involves both the Euclidean metric and the Dunkl metric. To introduce the Besov spaces in the Dunkl setting, new test functions and distributions are introduced, and a new decomposition is established.
Cite
@article{arxiv.2408.00340,
title = {Homogeneous Besov Spaces in Dunkl setting},
author = {Mengmeng Dou and Jiashu Zhang},
journal= {arXiv preprint arXiv:2408.00340},
year = {2025}
}