4 papers
Large time behavior of heat kernels on forms
Thierry Coulhon, Qi S. Zhang
We derive large time upper bounds for heat kernels on vector bundles of differential forms on a class of non-compact Riemannian manifolds under certain curvature conditions.
Riesz transform on manifolds and Poincaré inequalities
Pascal Auscher, Thierry Coulhon
We study the validity of the inequality for the Riesz transform when and of its reverse inequality when on complete Riemannian manifolds under the doubling proper…
Riesz transform and cohomology for manifolds with Euclidean ends
Gilles Carron, Thierry Coulhon, Andrew Hassell
Let 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 , each of which carries…
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…