Interpolations, convexity and geometric inequalities
Functional Analysis
2011-09-19 v1 Complex Variables
Abstract
We survey some interplays between spectral estimates of H\"ormander-type, degenerate Monge-Amp\`ere equations and geometric inequalities related to log-concavity such as Brunn-Minkowski, Santal\'o or Busemann inequalities.
Keywords
Cite
@article{arxiv.1109.3652,
title = {Interpolations, convexity and geometric inequalities},
author = {Dario Cordero-Erausquin and Bo'az Klartag},
journal= {arXiv preprint arXiv:1109.3652},
year = {2011}
}