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arXiv · 1705.04752

A multiplier theorem for sub-Laplacians with drift on Lie groups

Alessio Martini·Alessandro Ottazzi·Maria Vallarino
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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.

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Alessio Martini, Alessandro Ottazzi, Maria Vallarino. 2017-05-12. A multiplier theorem for sub-Laplacians with drift on Lie groups. https://doi.org/10.4171/rmi%2F1090

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