Lp boundedness of Riesz transform related to Schroedinger operators on a manifold

• Nadine Badr ^[1] ; Besma Ben Ali ^[2]
  1. [1] Claude Bernard University Lyon 1

     Claude Bernard University Lyon 1

     Arrondissement de Lyon, Francia

     
  2. [2] Université de Paris-Sud
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 8, Nº 4, 2009, págs. 725-765
• Idioma: inglés
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• Resumen

  • We establish various L p estimates for the Schr¨odinger operator −
    +V on Riemannian manifolds satisfying the doubling property and a Poincar´e inequality, where
    is the Laplace-Beltrami operator and V belongs to a reverse H¨older class. At the end of this paper we apply our result to Lie groups with polynomial growth.