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

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dc.creatorBadr, Nadine
dc.creatorAli, Besma Ben
dc.date2008-12-06
dc.date.accessioned2026-07-07T12:10:00Z
dc.date.available2026-07-07T12:10:00Z
dc.descriptionWe 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.
dc.description38 pages
dc.identifierhttps://arxiv.org/abs/0812.1265
dc.identifierhttp://arxiv.org/abs/0812.1265
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209819
dc.subjectDifferential Geometry
dc.subjectFunctional Analysis
dc.title$L^{p}$ Boundedness of Riesz transform related to Schrödinger operators on a manifold
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