Inequalities of the Kahane-Khinchin type and sections of L-p-balls

A. Koldobsky , Alain Pajor (1) , V. Yaskin

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

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.

Domaines: Physique mathématique [math-ph]

A. Koldobsky, Alain Pajor, V. Yaskin. Inequalities of the Kahane-Khinchin type and sections of L-p-balls. Studia Mathematica, 2008, 184 (3), pp.217--231. ⟨10.4064/sm184-3-2⟩. ⟨hal-00693597⟩