A perturbation result for the Riesz transform

• Baptiste Devyver ^[1]
  1. [1] University of Nantes

     University of Nantes

     Arrondissement de Nantes, Francia

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 14, Nº 3, 2015, págs. 937-964
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • We show a perturbation result for the Riesz transform: if M₀ and M1 are complete Riemannian manifolds which are isometric outside a compact set, we give sufficient conditions so that the boundedness on L p of the Riesz transform on M₀ implies the boundedness on L p of the Riesz transform on M₁.