$L^{p}$ Boundedness of Riesz transform related to Schrödinger operators on a manifold

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/209819We establish various $L^{p}$ estimates for the Schrödinger operator $-Δ+V$ on Riemannian manifolds satisfying the doubling property and a Poincaré inequality, where $Δ$ is the Laplace-Beltrami operator and $V$ belongs to a reverse Hölder class. At the end of this paper we apply our result on Lie groups with polynomial growth.38 pagesDifferential GeometryFunctional Analysis$L^{p}$ Boundedness of Riesz transform related to Schrödinger operators on a manifoldtext