On the heat semigroup approach to the geometric Forward-Reverse Brascamp-Lieb inequality
arXiv:2503.13758
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.
15 pages, to appear at Studia Mathematica