On the heat semigroup approach to the geometric Forward-Reverse Brascamp-Lieb inequality

2025/03/17 by Zhang, Ye
#26D15 #35K05 #39B72 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/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.

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