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

Alessio Martini; Alessandro Ottazzi; Maria Vallarino

doi:10.4171/rmi/1090

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

Alessio Martini, Alessandro Ottazzi, Maria Vallarino

Mathematics

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Abstract

We prove a general multiplier theorem for symmetric leftinvariant 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.

Original language	English
Pages (from-to)	1501-1534
Number of pages	34
Journal	Revista Matematica Iberoamericana
Volume	35
Issue number	5
Early online date	17 Jun 2019
DOIs	https://doi.org/10.4171/rmi/1090
Publication status	E-pub ahead of print - 17 Jun 2019

Keywords

Spectral multiplier
sub-Laplacian
Lie group
drift
Hardy space

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10.4171/rmi/1090Licence: None: All rights reserved

Martini_A_multiplier_theorem_Revista_Matemática_Iberoamericana_2017
Eligibility for repository: Checked on 24/7/2017 This document is the Author Accepted Manuscript version of a published work which appeared in its final form in Revista Matemática Iberoamericana, copyright © European Mathematical Society
Accepted author manuscript, 667 KBLicence: None: All rights reserved

Sub-Elliptic Harmonic Analysis
Martini, A.
Engineering & Physical Science Research Council
1/01/17 → 31/12/18
Project: Research Councils

Cite this

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KW - Hardy space

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

Abstract

Keywords

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Projects

Sub-Elliptic Harmonic Analysis

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