English

A note on second order Riesz transforms in 3-dimensional Lie groups

Probability 2020-03-24 v1 Functional Analysis

Abstract

We prove explicit LpL^p bounds for second order Riesz transforms of the sub-Laplacian in the Lie groups H\mathbb H, SU(2)\mathbb{SU}(2) and SL(2)\mathbb{SL}(2)

Keywords

Cite

@article{arxiv.2003.09931,
  title  = {A note on second order Riesz transforms in 3-dimensional Lie groups},
  author = {Fabrice Baudoin and Li Chen},
  journal= {arXiv preprint arXiv:2003.09931},
  year   = {2020}
}
R2 v1 2026-06-23T14:23:11.103Z