On the heat semigroup approach to the geometric Forward-Reverse Brascamp-Lieb inequality
Analysis of PDEs
2026-04-24 v2
Abstract
In this short paper we provide a new proof of the geometric Forward-Reverse Brascamp-Lieb inequality, using the approach of the heat semigroup, or the heat flow. Furthermore, we characterize all the Forward-Reverse Brascamp-Lieb data such that the initial relation can be preserved by some heat flow.
Keywords
Cite
@article{arxiv.2503.13758,
title = {On the heat semigroup approach to the geometric Forward-Reverse Brascamp-Lieb inequality},
author = {Ye Zhang},
journal= {arXiv preprint arXiv:2503.13758},
year = {2026}
}
Comments
15 pages, to appear at Studia Mathematica