Geodesic
Inequalities of the Kahane–Khinchin type and sections of $L_p$-balls
A. Koldobsky 1   ; A. Pajor 2   ; V. Yaskin 3
1 Department of Mathematics University of Missouri Columbia, MO 65211, U.S.A.
2 Équipe d'Analyse et de Mathématiques Appliquées Université de Marne-la-Vallée Champs sur Marne 77454 Marne-la-Vallée Cedex 2, France
3 Department of Mathematics University of Oklahoma Norman, OK 73019, U.S.A.
Studia Mathematica, Tome 184 (2008) no. 3, pp. 217-231 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $L_p$, $p>-2$.
DOI : 10.4064/sm184-3-2
Keywords: extend kahane khinchin type inequalities application verify slicing problem unit balls finite dimensional spaces embed

A. Koldobsky  1   ; A. Pajor  2   ; V. Yaskin  3

1 Department of Mathematics University of Missouri Columbia, MO 65211, U.S.A.
2 Équipe d'Analyse et de Mathématiques Appliquées Université de Marne-la-Vallée Champs sur Marne 77454 Marne-la-Vallée Cedex 2, France
3 Department of Mathematics University of Oklahoma Norman, OK 73019, U.S.A. 
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     title = {Inequalities of the {Kahane{\textendash}Khinchin} type
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     journal = {Studia Mathematica},
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A. Koldobsky; A. Pajor; V. Yaskin. Inequalities of the Kahane–Khinchin type
 and sections of $L_p$-balls. Studia Mathematica, Tome 184 (2008) no. 3, pp. 217-231. doi: 10.4064/sm184-3-2

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