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Riesz Transform and L^P-Cohomology for Manifolds with Euclidean Ends

Carron, Gilles; Coulhon, Thierry; Hassell, Andrew


Let M be a smooth Riemannian manifold that is the union of a compact part and a finite number of Euclidean ends, ℝn\B(0, R) for some R > 0, each of which carries the standard metric. Our main result is that the Riesz transform on M is bounded from LP(M)

CollectionsANU Research Publications
Date published: 2006
Type: Journal article
Source: Duke Mathematical Journal
DOI: 10.1215/S0012-7094-06-13313-6


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