The Riesz transform for homogeneous Schrdinger operators on metric cones

Abstract

We consider Schrödinger operators on a metric cone whose cross section is a closed Riemannian manifold (Y, h) of dimension d-1 ≥ 2. Thus the metric on the cone M = (0,∞)r × Y is dr2+r 2h. Let Δ be the Friedrichs Laplacian on M and let V0 be a smoot