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Displaying similar documents to “Riesz transforms on connected sums”

Riesz transform on manifolds and Poincaré inequalitie

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 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.

Heat kernel on manifolds with ends

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.