Geodesic
Inequalities of the Kahane–Khinchin type and sections of $L_p$-balls
A. Koldobsky1 ; A. Pajor2 ; V. Yaskin3
1Department of Mathematics University of Missouri Columbia, MO 65211, U.S.A.
2Équipe d'Analyse et de Mathématiques Appliquées Université de Marne-la-Vallée Champs sur Marne 77454 Marne-la-Vallée Cedex 2, France
3Department 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

Voir la notice de l'article

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. 
@article{10_4064_sm184_3_2,
     author = {A. Koldobsky and A. Pajor and V. Yaskin},
     title = {Inequalities of the {Kahane{\textendash}Khinchin} type
 and sections of $L_p$-balls},
     journal = {Studia Mathematica},
     pages = {217--231},
     year = {2008},
     volume = {184},
     number = {3},
     doi = {10.4064/sm184-3-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm184-3-2/}
}
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
SP  - 217
EP  - 231
VL  - 184
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm184-3-2/
DO  - 10.4064/sm184-3-2
LA  - en
ID  - 10_4064_sm184_3_2
ER  - 
%0 Journal Article
%A A. Koldobsky
%A A. Pajor
%A V. Yaskin
%T Inequalities of the Kahane–Khinchin type
 and sections of $L_p$-balls
%J Studia Mathematica
%D 2008
%P 217-231
%V 184
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/sm184-3-2/
%R 10.4064/sm184-3-2
%G en
%F 10_4064_sm184_3_2
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

Cité par Sources :