Riesz transform on manifolds and Poincaré inequalities

Pascal Auscher; Thierry Coulhon

Riesz transform on manifolds and Poincaré inequalities

Pascal Auscher
, Thierry Coulhon

Laboratoire de Mathématiques d'Orsay
CY Cergy Paris Université

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

56 Citations (Scopus)

Résumé

We study the validity of the L^p inequality for the Riesz transform when p > 2 and of its reverse inequality when 1 < p < 2 on complete Riemannian manifolds under the doubling property and some Poincaré inequalities.

langue originale	Anglais
Pages (de - à)	531-555
Nombre de pages	25
journal	Annali della Scuola Normale - Classe di Scienze
Volume	4
Numéro de publication	3
état	Publié - 1 déc. 2005
Modification externe	Oui

Contient cette citation

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Riesz transform on manifolds and Poincaré inequalities

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