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

Carron, Gilles; Coulhon, Thierry; Hassell, Andrew

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

Date

2006

Authors

Carron, Gilles

Coulhon, Thierry

Hassell, Andrew

Publisher

Duke University Press

Abstract

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)

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http://hdl.handle.net/1885/23024

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ANU Research Publications

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Duke Mathematical Journal

Type

Journal article

DOI

10.1215/S0012-7094-06-13313-6

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2037-12-31

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

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