Coercive Inequalities on Metric Measure Spaces

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dc.creatorHebisch, W.
dc.creatorZegarlinski, B.
dc.date2009-05-11
dc.date.accessioned2026-07-07T13:13:58Z
dc.date.available2026-07-07T13:13:58Z
dc.descriptionWe study coercive inequalities on finite dimensional metric spaces with probability measures which do not have volume doubling property. This class of inequalities includes Poincaré and Log-Sobolev inequality. Our main result is proof of Log-Sobolev inequality on Heisenberg group equipped with either heat kernel measure or "gaussian" density build from optimal control distance. As intermediate results we prove so called U-bounds.
dc.identifierhttps://arxiv.org/abs/0905.1713
dc.identifierhttp://arxiv.org/abs/0905.1713
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230067
dc.subjectFunctional Analysis
dc.subjectProbability
dc.subject22E30; 60E15
dc.titleCoercive Inequalities on Metric Measure Spaces
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