Riesz transform on manifolds and heat kernel regularity

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dc.creatorAuscher, Pascal
dc.creatorCoulhon, Thierry
dc.creatorDuong, Xuan Thinh
dc.creatorHofmann, Steve
dc.date2004-11-17
dc.date.accessioned2026-07-07T05:14:24Z
dc.date.available2026-07-07T05:14:24Z
dc.descriptionOne considers the class of complete non-compact Riemannian manifolds whose heat kernel satisfies Gaussian estimates from above and below. One shows that the Riesz transform is $L^p$ bounded on such a manifold, for $p$ ranging in an open interval above 2, if and only if the gradient of the heat kernel satisfies a certain $L^p$ estimate in the same interval of $p$'s.
dc.descriptionto appear in Annales de l'Ecole Normale Superieure de Paris
dc.identifierhttps://arxiv.org/abs/math/0411374
dc.identifierhttp://arxiv.org/abs/math/0411374
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73264
dc.subjectAnalysis of PDEs
dc.subjectClassical Analysis and ODEs
dc.subjectDifferential Geometry
dc.subject58J35, 42B20
dc.titleRiesz transform on manifolds and heat kernel regularity
dc.typetext

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