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

Published: Feb 10, 2022
Abstract
We prove explicit $L^p bounds for second order Riesz transforms of the sub-Laplacian and of the Laplacian in the Lie groups {\mathbb {H}} , \mathbb {SU}(2) , and \widetilde{\mathbb {SL}}(2) . Our proof makes use of martingale transform techniques and specific commutation properties between the complex gradient and the sub-Laplacian in those Lie...
Paper Details
Title
A note on second order Riesz transforms in 3-dimensional Lie groups
Published Date
Feb 10, 2022
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