Analysis Seminar

Katherina von Dichter, Technical University of Munich

"Mean inequalities for symmetrizations of convex bodies"

We deal with four symmetrizations of a convex set C: the intersection, the harmonic and the arithmetic mean, and the convex hull of C and -C. A well-known result of Firey shows that those means build up a subset-chain in the given order. We determine the dilatation factors, depending on the asymmetry of C, to reverse the containments between any of those symmetrizations, and tighten the relations proven by Firey and show a stability result concerning those factors near the simplex.

MC 5501

Zoom link: https://uwaterloo.zoom.us/j/94186354814?pwd=NGpLM3B4eWNZckd1aTROcmRreW96QT09