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

Fabrice Baudoin, Li Chen

Published 2020-03-22Version 1

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