English

Riesz transform for Dunkl Hermite expansion

Classical Analysis and ODEs 2013-04-17 v2

Abstract

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

Keywords

Cite

@article{arxiv.1201.1209,
  title  = {Riesz transform for Dunkl Hermite expansion},
  author = {Béchir Amri},
  journal= {arXiv preprint arXiv:1201.1209},
  year   = {2013}
}

Comments

13 pages

R2 v1 2026-06-21T20:00:49.438Z