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

• Alessio Martini ^[1] ; Alessandro Ottazzi ^[3] ; Maria Vallarino ^[2]
  1. [1] University of Birmingham

     University of Birmingham

     Reino Unido

     
  2. [2] Polytechnic University of Turin

     Polytechnic University of Turin

     Torino, Italia

     
  3. [3] University of New South Wales, Sydney

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• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 35, Nº 5, 2019, págs. 1501-1534
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.