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math.FA2021
Transport proofs of some functional inverse Santal{ó} inequalities
Matthieu Fradelizi, Nathael Gozlan, Simon Zugmeyer
In this paper, we present a simple proof of a recent result of the second author which establishes that functional inverse-Santal{ó} inequalities follow from Entropy-Transport ineq…
math.FA2019★ 1 cited
A family of Beckner inequalities under various curvature-dimension conditions
Ivan Gentil, Simon Zugmeyer
In this paper, we offer a proof for a family of functional inequalities interpolating between the Poincar{é} and the logarithmic Sobolev (standard and weighted) inequalities. The p…