Shift inequalities of Gaussian type and norms of barycentres

• Autorzy: F. Barthe , D. Cordero-Erausquin , M. Fradelizi
• Języki publikacji: EN

Abstrakty

EN

We derive the equivalence of different forms of Gaussian type shift inequalities. This completes previous results by Bobkov. Our argument strongly relies on the Gaussian model for which we give a geometric approach in terms of norms of barycentres. Similar inequalities hold in the discrete setting; they improve the known results on the so-called isodiametral problem for the discrete cube. The study of norms of barycentres for subsets of convex bodies completes the exposition.

Kategorie tematyczne

• 28A75: Length, area, volume, other geometric measure theory
• 26B15: Integration: length, area, volume
• 52A40: Inequalities and extremum problems
• 26D10: Inequalities involving derivatives and differential and integral operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 146
• Numer: 3
• Strony: 245-259

Daty

wydano

2001

Twórcy

autor

F. Barthe

• Équipe d'Analyse et de Mathématiques, Appliquées, ESA 8050, Université de Marne-la-Vallée, Cité Descartes, 5 Boulevard Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée Cedex 2, France

autor

D. Cordero-Erausquin

• Équipe d'Analyse et de Mathématiques, Appliquées, ESA 8050, Université de Marne-la-Vallée, Cité Descartes, 5 Boulevard Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée Cedex 2, France

autor

M. Fradelizi

• Équipe d'Analyse et de Mathématiques, Appliquées, ESA 8050, Université de Marne-la-Vallée, Cité Descartes, 5 Boulevard Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée Cedex 2, France

Identyfikatory

DOI

10.4064/sm146-3-3