Riesz Transform and L^P-Cohomology for Manifolds with Euclidean Ends

Carron, GillesCoulhon, ThierryHassell, Andrew2015-12-070012-7094http://hdl.handle.net/1885/23024Let M be a smooth Riemannian manifold that is the union of a compact part and a finite number of Euclidean ends, ℝn\B(0, R) for some R > 0, each of which carries the standard metric. Our main result is that the Riesz transform on M is bounded from LP(M)Riesz Transform and L^P-Cohomology for Manifolds with Euclidean Ends200610.1215/S0012-7094-06-13313-62015-12-07