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 , p > -2.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm184-3-2,
author = {A. Koldobsky and A. Pajor and V. Yaskin},
title = {Inequalities of the Kahane-Khinchin type and sections of $L\_{p}$-balls},
journal = {Studia Mathematica},
volume = {187},
year = {2008},
pages = {217-231},
zbl = {1140.52007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm184-3-2}
}
A. Koldobsky; A. Pajor; V. Yaskin. Inequalities of the Kahane-Khinchin type and sections of $L_{p}$-balls. Studia Mathematica, Tome 187 (2008) pp. 217-231. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm184-3-2/