Orlicz--Lorentz centroid bodies
Functional Analysis
2017-07-11 v2 Metric Geometry
Abstract
We extend the definition of the centroid body operator to an Orlicz--Lorentz centroid body operator on the star bodies in , and establish the sharp affine isoperimetric inequality that bounds (from below) the volume of the Orlicz--Lorentz centroid body of any convex body containing the origin in its interior by the volume of this convex body.
Keywords
Cite
@article{arxiv.1612.03215,
title = {Orlicz--Lorentz centroid bodies},
author = {Van Hoang Nguyen},
journal= {arXiv preprint arXiv:1612.03215},
year = {2017}
}
Comments
22 pages, to appear in Advances in Applied Mathematics