Sharp Global Bounds for the Hessian on Pseudo-Hermitian Manifolds

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dc.creatorChanillo, Sagun
dc.creatorManfredi, Juan J.
dc.date2007-04-21
dc.date.accessioned2026-07-07T07:57:46Z
dc.date.available2026-07-07T07:57:46Z
dc.descriptionWe find sharp bounds for the norm inequality on a Pseudo-hermitian manifold, where the L^2 norm of all second derivatives of the function involving horizontal derivatives is controlled by the L^2 norm of the sub-Laplacian. Perturbation allows us to get a-priori bounds for solutions to sub-elliptic PDE in non-divergence form with bounded measurable coefficients. The method of proof is through a Bochner technique. The Heisenberg group is seen to be en extremal manifold for our inequality in the class of manifolds whose Ricci curvature is non-negative.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0704.2833
dc.identifierhttp://arxiv.org/abs/0704.2833
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127766
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject35J, 32V,58C
dc.titleSharp Global Bounds for the Hessian on Pseudo-Hermitian Manifolds
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