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

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.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00693597
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Submitted on : Wednesday, May 2, 2012 - 6:38:34 PM
Last modification on : Tuesday, June 1, 2021 - 9:00:04 PM

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A. Koldobsky, Alain Pajor, V. Yaskin. Inequalities of the Kahane-Khinchin type and sections of L-p-balls. Studia Mathematica, Instytut Matematyczny - Polska Akademii Nauk, 2008, 184 (3), pp.217--231. ⟨10.4064/sm184-3-2⟩. ⟨hal-00693597⟩

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