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- W2098474757 startingPage "911" @default.
- W2098474757 abstract "One 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 Lp 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 Lp estimate in the same interval of p's. On considère la classe des variétés riemanniennes complètes non compactes dont le noyau de la chaleur satisfait une estimation supérieure et inférieure gaussienne. On montre que la transformée de Riesz y est bornée sur Lp, pour un intervalle ouvert de p au-dessus de 2, si et seulement si le gradient du noyau de la chaleur satisfait une certaine estimation Lp pour le même intervalle d'exposants p." @default.
- W2098474757 created "2016-06-24" @default.
- W2098474757 creator A5019137240 @default.
- W2098474757 creator A5049704913 @default.
- W2098474757 creator A5063307120 @default.
- W2098474757 creator A5064499639 @default.
- W2098474757 date "2004-11-01" @default.
- W2098474757 modified "2023-10-17" @default.
- W2098474757 title "Riesz transform on manifolds and heat kernel regularity" @default.
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- W2098474757 doi "https://doi.org/10.1016/j.ansens.2004.10.003" @default.
- W2098474757 hasPublicationYear "2004" @default.
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