Geodesic
Short Probabilistic Proof of the Brascamp-Lieb and Barthe Theorems
Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 585-597

Voir la notice de l'article provenant de la source Cambridge University Press

We give a short proof of the Brascamp–Lieb theorem, which asserts that a certain general form of Young's convolution inequality is saturated by Gaussian functions. The argument is inspired by Borell's stochastic proof of the Prèkopa-Leindler inequality and applies also to the reversed Brascamp-Lieb inequality, due to Barthe.
DOI : 10.4153/CMB-2013-040-x
Mots-clés : 39B62, 60J65, functional inequalities, Brownian motion 
Lehec, Joseph. Short Probabilistic Proof of the Brascamp-Lieb and Barthe Theorems. Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 585-597. doi: 10.4153/CMB-2013-040-x
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