Singular Integral and Local Hardy Spaces in Dunkl Setting
Abstract
The objective of this paper is to establish the local Hardy space in the Dunkl setting, which pertains to the geometric framework defined by both the Euclidean metric and the Dunkl metric, the latter being influenced by finite reflection groups. This study leverages the weak local wavelet decomposition in $L^2$ space and the theory of nonhomogeneous singular integral operators as pivotal components.
Fields of Study & Subjects
Mathematical Analysis and Transform Methods
Holomorphic and Operator Theory
Advanced Harmonic Analysis Research
Publication details
- Journal / source
- Analysis in Theory and Applications
- Volume
- 41
- Issue
- 4
- Pages
- 299–370
- Publication date
- 10 January 2026