JournalsrmiVol. 35, No. 5pp. 1501–1534

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

  • Alessio Martini

    University of Birmingham, UK

  • Alessandro Ottazzi

    University of New South Wales, Sydney, Australia

  • Maria Vallarino

    Politecnico di Torino, Italy
A multiplier theorem for sub-Laplacians with drift on Lie groups cover

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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.

Cite this article

Alessio Martini, Alessandro Ottazzi, Maria Vallarino, A multiplier theorem for sub-Laplacians with drift on Lie groups. Rev. Mat. Iberoam. 35 (2019), no. 5, pp. 1501–1534

DOI 10.4171/RMI/1090