A multiplier theorem for sub-Laplacians with drift on Lie groups
Analysis of PDEs
2020-11-10 v1 Functional Analysis
Abstract
We prove a general multiplier theorem for symmetric left-invariant sub-Laplacians with drift on non-compact Lie groups. This considerably improves and extends a result by Hebisch, Mauceri, and Meda. Applications include groups of polynomial growth and solvable extensions of stratified groups.
Cite
@article{arxiv.1705.04752,
title = {A multiplier theorem for sub-Laplacians with drift on Lie groups},
author = {Alessio Martini and Alessandro Ottazzi and Maria Vallarino},
journal= {arXiv preprint arXiv:1705.04752},
year = {2020}
}