On a reverse form of the Brascamp-Lieb inequality

Franck Barthe (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

We prove a reverse form of the multidimensional Brascamp-Lieb inequality. Our method also gives a new way to derive the Brascamp-Lieb inequality and is rather convenient for the study of equality cases.

Domaines: Physique mathématique [math-ph]

Franck Barthe. On a reverse form of the Brascamp-Lieb inequality. Inventiones Mathematicae, 1998, 134 (2), pp.335--361. ⟨10.1007/s002220050267⟩. ⟨hal-00694256⟩