Riesz transform on manifolds and Poincaré inequalitie
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 4 (2005) no. 3, pp. 531-555.

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.

Classification : 58J35, 42B20
Auscher, Pascal 1 ; Coulhon, Thierry 2

1 Laboratoire de Mathématiques CNRS, UMR 8628 Université de Paris-Sud 91405 Orsay Cedex, France
2 Département de Mathématiques Université de Cergy-Pontoise 2 rue Adolphe Chauvin 95302 Pontoise Cedex, France
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Auscher, Pascal; Coulhon, Thierry. Riesz transform on manifolds and Poincaré inequalitie. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 4 (2005) no. 3, pp. 531-555. http://www.numdam.org./item/ASNSP_2005_5_4_3_531_0/

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