Inequalities of the Kahane-Khinchin type and sections of $L_p$-balls

A. Koldobsky, A. Pajor, and V. Yaskin. "Inequalities of the Kahane-Khinchin type and sections of $L_{p}$-balls." Studia Mathematica 184.3 (2008): 217-231. <http://eudml.org/doc/285063>.

@article{A2008,
abstract = {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.},
author = {A. Koldobsky, A. Pajor, V. Yaskin},
journal = {Studia Mathematica},
keywords = {convex body; Kahane-Khinchin inequalities; -balls; slicing problem},
language = {eng},
number = {3},
pages = {217-231},
title = {Inequalities of the Kahane-Khinchin type and sections of $L_\{p\}$-balls},
url = {http://eudml.org/doc/285063},
volume = {184},
year = {2008},
}

TY - JOUR
AU - A. Koldobsky
AU - A. Pajor
AU - V. Yaskin
TI - Inequalities of the Kahane-Khinchin type and sections of $L_{p}$-balls
JO - Studia Mathematica
PY - 2008
VL - 184
IS - 3
SP - 217
EP - 231
AB - 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.
LA - eng
KW - convex body; Kahane-Khinchin inequalities; -balls; slicing problem
UR - http://eudml.org/doc/285063
ER -