English

Borell's generalized Pr\'ekopa-Leindler inequality: A simple proof

Functional Analysis 2015-12-15 v2

Abstract

We present a simple proof of Christer Borell's general inequality in the Brunn-Minkowski theory. We then discuss applications of Borell's inequality to the log-Brunn-Minkowski inequality of B\"or\"oczky, Lutwak, Yang and Zhang.

Keywords

Cite

@article{arxiv.1509.06444,
  title  = {Borell's generalized Pr\'ekopa-Leindler inequality: A simple proof},
  author = {Arnaud Marsiglietti},
  journal= {arXiv preprint arXiv:1509.06444},
  year   = {2015}
}

Comments

9 pages, Corrected typos

R2 v1 2026-06-22T11:02:18.945Z