Riesz transform on manifolds and heat kernel regularity
Pascal Auscher, Thierry Coulhon, Xuan Thinh Duong, Steve Hofmann (2004)
Annales scientifiques de l'École Normale Supérieure
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Pascal Auscher, Thierry Coulhon, Xuan Thinh Duong, Steve Hofmann (2004)
Annales scientifiques de l'École Normale Supérieure
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Pascal Auscher, Thierry Coulhon (2005)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We study the validity of the inequality for the Riesz transform when and of its reverse inequality when on complete riemannian manifolds under the doubling property and some Poincaré inequalities.
Georgios Alexopoulos, Noël Lohoué (1994)
Bulletin de la Société Mathématique de France
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Alexander Grigor’yan, Laurent Saloff-Coste (2009)
Annales de l’institut Fourier
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We prove two-sided estimates of heat kernels on non-parabolic Riemannian manifolds with ends, assuming that the heat kernel on each end separately satisfies the Li-Yau estimate.