On Gaussian Brunn-Minkowski inequalities

• Autorzy: Franck Barthe , Nolwen Huet
• Języki publikacji: EN

Abstrakty

EN

We are interested in Gaussian versions of the classical Brunn-Minkowski inequality. We prove in a streamlined way a semigroup version of the Ehrhard inequality for m Borel or convex sets based on a previous work by Borell. Our method also yields semigroup proofs of the geometric Brascamp-Lieb inequality and of its reverse form, which follow exactly the same lines.

Kategorie tematyczne

• 60G15: Gaussian processes
• 35K05: Heat equation
• 52A40: Inequalities and extremum problems
• 60E15: Inequalities; stochastic orderings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 191
• Numer: 3
• Strony: 283-304

Daty

wydano

2009

Twórcy

autor

Franck Barthe

• Institut de Mathématiques de Toulouse, Université Paul Sabatier, 31062 Toulouse, France

autor

Nolwen Huet

• Institut de Mathématiques de Toulouse, Université Paul Sabatier, 31062 Toulouse, France

Identyfikatory

DOI

10.4064/sm191-3-9