Thierry Coulhon

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math.AP2004

Riesz transform and $L^{p}$ cohomology for manifolds with Euclidean ends

Gilles Carron, Thierry Coulhon, Andrew Hassell

Let $M$ be a smooth Riemannian manifold which is the union of a compact part and a finite number of Euclidean ends, $\RR^n \setminus B(0,R)$ for some $R > 0$ , each of which carries…

math.AP2004

Riesz transform on manifolds and heat kernel regularity

Pascal Auscher, Thierry Coulhon, Xuan Thinh Duong +1

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…

Riesz transform and Lp cohomology for manifolds with Euclidean ends

Riesz transform on manifolds and heat kernel regularity

Riesz transform and $L^{p}$ cohomology for manifolds with Euclidean ends