Regularization of star bodies by random hyperplane cut off
Tom 159 / 2003
Studia Mathematica 159 (2003), 247-261 MSC: 46B09, 52A20. DOI: 10.4064/sm159-2-6
We present a general result on regularization of an arbitrary convex body (and more generally a star body), which gives and extends global forms of a number of well known local facts, like the low $M^*$-estimates, large Euclidean sections of finite volume-ratio spaces and others.