Riesz transform on manifolds and heat kernel regularity

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 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 sa...

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Veröffentlicht in:	Annales scientifiques de l'École normale supérieure 2004, Vol.37 (6), p.911-957
Hauptverfasser:	Auscher, Pascal, Coulhon, Thierry, Duong, Xuan Thinh, Hofmann, Steve
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis of PDEs Classical Analysis and ODEs Differential Geometry Exact sciences and technology Fourier analysis Global analysis, analysis on manifolds Mathematical analysis Mathematics Sciences and techniques of general use Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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