Orlicz-Legendre Ellipsoids
Metric Geometry
2017-03-14 v1 Functional Analysis
Abstract
The Orlicz-Legendre ellipsoids, which are in the framework of emerging dual Orlicz Brunn-Minkowski theory, are introduced for the first time. They are in some sense dual to the recently found Orlicz-John ellipsoids, and have largely generalized the classical Legendre ellipsoid of inertia. Several new affine isoperimetric inequalities are established. The connection between the characterization of Orlicz-Legendre ellipsoids and isotropy of measures is demonstrated.
Keywords
Cite
@article{arxiv.1408.6719,
title = {Orlicz-Legendre Ellipsoids},
author = {Du Zou and Ge Xiong},
journal= {arXiv preprint arXiv:1408.6719},
year = {2017}
}
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43 Pages