Inequalities of the Kahane–Khinchin type and sections of $L_p$-balls
Volume 184 / 2008
Studia Mathematica 184 (2008), 217-231
MSC: 52A20, 46B07.
DOI: 10.4064/sm184-3-2
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 $L_p$, $p>-2$.