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/