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arXiv · 2503.13758

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

Ye Zhang
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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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Ye Zhang. 2025-03-17. On the heat semigroup approach to the geometric Forward-Reverse Brascamp-Lieb inequality. https://arxiv.org/abs/2503.13758

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