Some functional forms of Blaschke-Santaló inequality

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dc.creatorFradelizi, Matthieu
dc.creatorMeyer, Mathieu
dc.date2006-09-20
dc.date.accessioned2026-07-07T07:24:59Z
dc.date.available2026-07-07T07:24:59Z
dc.descriptionWe establish new functional versions of the Blaschke-Santaló inequality on the volume product of a convex body which generalize to the non-symmetric setting an inequality of K. Ball and we give a simple proof of the case of equality. As a corollary, we get some inequalities for $\log$-concave functions and Legendre transforms which extend the recent result of Artstein, Klartag and Milman, with its equality case.
dc.description19 pages, to appear in Mathematische Zeitschrift
dc.identifierhttps://arxiv.org/abs/math/0609553
dc.identifierhttp://arxiv.org/abs/math/0609553
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116578
dc.subjectFunctional Analysis
dc.subjectMetric Geometry
dc.subject52A40
dc.titleSome functional forms of Blaschke-Santaló inequality
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