Some results on the Hardy space H1 associated with the Dunkl operators
Chokri Abdelkefi, Mongi Rachdi
TL;DR
This paper explores the behavior of key operators within the atomic Hardy space H1 in Dunkl analysis, advancing understanding of harmonic analysis in this mathematical framework.
Contribution
It introduces new results on the action of fundamental operators on the Hardy space H1 associated with Dunkl operators.
Findings
Characterization of operator actions on H1
Extension of classical harmonic analysis results to Dunkl setting
Foundational results for further Dunkl analysis research
Abstract
In the present paper, we investigate in Dunkl analysis, the action of some fundamental operators on the atomic Hardy space H1.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Advanced Harmonic Analysis Research · Spectral Theory in Mathematical Physics