Inequalities of the Kahane-Khinchin type and sections of $L_{p}$-balls

• Autorzy: A. Koldobsky , A. Pajor , V. Yaskin
• Języki publikacji: EN

Abstrakty

EN

We extend Kahane-Khinchin type inequalities to the case p > -2. As an application we verify the slicing problem for the unit balls of finite-dimensional spaces that embed in $L_{p}$, p > -2.

Kategorie tematyczne

• 46B07: Local theory of Banach spaces
• 52A20: Convex sets in n dimensions (including convex hypersurfaces)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 184
• Numer: 3
• Strony: 217-231

Daty

wydano

2008

Twórcy

autor

A. Koldobsky

• Department of Mathematics, University of Missouri, Columbia, MO 65211, U.S.A.

autor

A. Pajor

• Équipe d'Analyse et de Mathématiques Appliquées, Université de Marne-la-Vallée, Champs sur Marne, 77454 Marne-la-Vallée Cedex 2, France

autor

V. Yaskin

• Department of Mathematics, University of Oklahoma, Norman, OK 73019, U.S.A.

Identyfikatory

DOI

10.4064/sm184-3-2