Some functional forms of Blaschke-Santaló inequality

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We 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.
19 pages, to appear in Mathematische Zeitschrift

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Functional Analysis, Metric Geometry, 52A40

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http://salesiana.dossiersoluciones.com/handle/123456789/116578

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609553
 http://arxiv.org/abs/math/0609553

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arXiv