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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.
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 -