Riesz transform on manifolds and Poincaré inequalities

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74859We study the validity of the $L^p$ inequality for the Riesz transform when $p>2$ and of its reverse inequality when $p<2$ on complete Riemannian manifolds under the doubling property and some Poincaré inequalities.Differential GeometryClassical Analysis and ODEsMSC 2000: 58J35, 42B20Riesz transform on manifolds and Poincaré inequalitiestext