Santaló's inequality on $ \mathbb{C}^{n}$ by complex interpolation

Dario Cordero-Erausquin

doi:10.1016/S1631-073X(02)02328-2

Santaló's inequality on

ℂ^{n}

by complex interpolation
[Inégalité de Santaló sur

ℂ^{n}

par interpolation complexe]

Dario Cordero-Erausquin ¹

¹ Laboratoire d'analyse et de mathématiques appliquées (CNRS UMR 8050), Université de Marne la Vallée, 77454 Marne la Vallée cedex 2, France

Comptes Rendus. Mathématique, Volume 334 (2002) no. 9, pp. 767-772.

Abstract (VO)
Résumé

A new approach to Santaló's inequality on $ℂ^{n}$ is obtained by combining complex interpolation and Berndtsson's generalization of Prékopa's inequality.

On donne une nouvelle approche de l'inégalité de Santaló en combinant l'interpolation complexe et la généralisation de l'inégalité de Prékopa obtenue par Berntdsson.

Reçu le : 2002-02-13
Accepté le : 2002-02-19
Publié le : 2002-01-01

DOI : 10.1016/S1631-073X(02)02328-2

Affiliations des auteurs :

Dario Cordero-Erausquin ¹

¹ Laboratoire d'analyse et de mathématiques appliquées (CNRS UMR 8050), Université de Marne la Vallée, 77454 Marne la Vallée cedex 2, France

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     title = {Santal\'o's inequality on $ \mathbb{C}^{n}$ by complex interpolation},
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Dario Cordero-Erausquin. Santaló's inequality on $ \mathbb{C}^{n}$ by complex interpolation. Comptes Rendus. Mathématique, Volume 334 (2002) no. 9, pp. 767-772. doi : 10.1016/S1631-073X(02)02328-2. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02328-2/

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