Riesz transforms for Dunkl transform

TL;DR

This paper proves the boundedness of Riesz transforms associated with the Dunkl transform on L^p spaces for all p between 1 and infinity, extending harmonic analysis tools to Dunkl operators.

Contribution

It establishes the L^p-boundedness of Riesz transforms in the Dunkl setting, a significant extension of classical harmonic analysis results.

Findings

Riesz transforms are bounded on L^p spaces for Dunkl transform.

The results hold for all p in (1, ∞).

Extends harmonic analysis techniques to Dunkl operators.

Abstract

In this paper we obtain the $L^p$-boundedness of Riesz transforms for Dunkl transform for all $1<p<\infty$.