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An analytic solution to the Busemann-Petty problem on sections of convex bodies.

Gardner, R.J.; Koldobsky, A.; Schlumprecht, T. — 1999

Annals of Mathematics. Second Series

Inequalities of the Kahane-Khinchin type and sections of $L_{p}$ -balls

A. Koldobsky; A. Pajor; V. Yaskin — 2008

Studia Mathematica

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.

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An analytic solution to the Busemann-Petty problem on sections of convex bodies.

Inequalities of the Kahane-Khinchin type and sections of L p -balls

Inequalities of the Kahane-Khinchin type and sections of $L_{p}$ -balls