Pré-Publication, Document De Travail Année : 2008

On Gaussian Brunn-Minkowski inequalities

Résumé

In this paper, we are interested in Gaussian versions of the classical Brunn-Minkowski inequality. We prove in a streamlined way a semigroup version of the Ehrard inequality for $m$ Borel or convex sets based on a previous work by Borell. Our method allows us also to have semigroup proofs of the classical Brascamp-Lieb inequality and of the reverse one which follow exactly the same lines.

Fichier principal
Vignette du fichier
bmg2008-04-05.pdf (228.96 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-00270555 , version 1 (05-04-2008)
hal-00270555 , version 2 (30-07-2008)

Licence

Identifiants

Citer

Franck Barthe, Nolwen Huet. On Gaussian Brunn-Minkowski inequalities. 2008. ⟨hal-00270555v1⟩
284 Consultations
567 Téléchargements

Altmetric

Partager

  • More