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

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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 Lp, p > -2. © Instytut Matematyczny PAN, 2008.

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Koldobsky, A., Pajor, A., & Yaskin, V. (2008). Inequalities of the Kahane-Khinchin type and sections of L p-balls. Studia Mathematica, 184(3), 217–231. https://doi.org/10.4064/sm184-3-2

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