Permanence of moment estimates for $p$-products of convex bodies
Tom 150 / 2002
Studia Mathematica 150 (2002), 243-260
MSC: Primary 52A20; Secondary 33B15, 60F25.
DOI: 10.4064/sm150-3-3
Streszczenie
It is shown that two inequalities concerning second and fourth moments of isotropic normalized convex bodies in ${\mathbb R}^n$ are permanent under forming $p$-products. These inequalities are connected with a concentration of mass property as well as with a central limit property. An essential tool are certain monotonicity properties of the ${\mit \Gamma }$-function.
