(1) Université de Cergy-Pontoise, Cergy-Pontoise, France;(2) University of New South Wales, New South Wales, Australia
Abstract:
We prove that, on a complete noncompact Riemannian manifold with bounded geometry, the Lp boundedness of the Riesz transform, for p>2, is stable under a quasi-isometric and integrable change of metric. As an intermediate step, we treat the case of weighted divergence form operators in the Euclidean space.