THE REVERSE ISOPERIMETRIC PROBLEM FOR GAUSSIAN MEASURE

被引:50
作者
BALL, K [1 ]
机构
[1] TEXAS A&M UNIV SYST,DEPT MATH,COLL STN,TX 77843
关键词
D O I
10.1007/BF02573986
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
It is shown that if g is the standard Gaussian density on R(n) and C is a convex body in R(n), integral/partial derivative C g less-than-or-equal-to 4n1/4. The arguments presented raise several questions in integral geometry.
引用
收藏
页码:411 / 420
页数:10
相关论文
共 4 条
[1]   BRUNN-MINKOWSKI INEQUALITY IN GAUSS SPACE [J].
BORELL, C .
INVENTIONES MATHEMATICAE, 1975, 30 (02) :207-216
[2]  
Eggleston H. G., 1958, CONVEXITY
[3]  
PISIER G, 1980, ANN SCI ECOLE NORM S, V13, P23
[4]  
SUDAKOV VN, 1974, ZAP NAUCN SEM LENING, V41, P14