Riesz transform on manifolds with quadratic curvature decay

• Gilles Carron ^[1]
  1. [1] University of Nantes

     University of Nantes

     Arrondissement de Nantes, Francia

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 33, Nº 3, 2017 (Ejemplar dedicado a: Yves Meyer), págs. 749-788
• Idioma: inglés
• DOI: 10.4171/RMI/954
• Texto completo no disponible (Saber más ...)
• Resumen

  • We investigate the Lp-boundedness of the Riesz transform on Riemannian manifolds whose Ricci curvature has quadratic decay. Two criterions for the Lp-unboundedness of the Riesz transform are given. We recover known results about manifolds that are Euclidean or conical at infinity.