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

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.

Cited by in corpus (1)

• Riesz transforms associated with the twisted Laplacian with drift