Riesz transform for Dunkl Hermite expansion

Abstract

In the present paper, we establish that Riesz transforms for Dunkl Hermite expansion as introduced in [4] are singular integral operators with Hörmander's type conditions and we show that are bounded on $L^p(\mathbb{R}^d; dμ_k) 1 < p < 1.

13 pages

Cited by in corpus (3)

• On Harmonic Analysis Operators in Laguerre-Dunkl and Laguerre-Symmetrized Settings
• On fundamental harmonic analysis operators in certain Dunkl and Bessel settings
• Mixed norm estimates for the Riesz transforms associated to Dunkl harmonic oscillators