Comptes Rendus
no. 1-2
Functional Analysis
A direct proof of the functional Santaló inequality
[Une preuve directe de l'inégalité de Santaló fonctionnelle]

Présenté par : Gilles Pisier

Joseph Lehec1
1 Université Paris-Est, Laboratoire d'analyse et de mathématiques appliquées, cité Descartes, 5, boulevard Descartes, 77454 Marne la Vallée cedex 2, France
Comptes Rendus. Mathématique, Volume 347 (2009) no. 1-2, pp. 55-58.

On présente une démonstration simple d'une version fonctionnelle de l'inégalité de Blaschke–Santaló, due à Artstein, Klartag et Milman. On procède par récurrence sur la dimension, sans faire appel à l'inégalité ensembliste.

We give a simple proof of a functional version of the Blaschke–Santaló inequality due to Artstein, Klartag and Milman. The proof is by induction on the dimension and does not use the Blaschke–Santaló inequality.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2008.11.015

Joseph Lehec 1

1 Université Paris-Est, Laboratoire d'analyse et de mathématiques appliquées, cité Descartes, 5, boulevard Descartes, 77454 Marne la Vallée cedex 2, France 
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Joseph Lehec. A direct proof of the functional Santaló inequality. Comptes Rendus. Mathématique, Volume 347 (2009) no. 1-2, pp. 55-58. doi : 10.1016/j.crma.2008.11.015. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.11.015/

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