Hyperplane projections of the unit ball of lnp

被引：27

作者：

Barthe, F

Naor, A

机构：

[1] Univ Marne la Vallee, CNRS, Equipe Anal & Math Appl, F-77454 Marne La Vallee 2, France

[2] Hebrew Univ Jerusalem, Dept Math, IL-91904 Jerusalem, Israel

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 2002年 / 27卷 / 02期

关键词：

D O I：

10.1007/s00454-001-0066-3

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let B-p(n) = {x is an element of R-n; Sigma(i=1)(n) \x(i)\(p) less than or equal to 1}, 1 less than or equal to p less than or equal to +infinity. We study the extreme values of the volume of the orthogonal projection of B-p(n) onto hyperplanes H subset of R-n. For a fixed H, we prove that the ratio vol(PHBpn)/vol(B-p(n-1)) is non-decreasing in p is an element of [1, +infinity].

引用

页码：215 / 226

页数：12

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