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

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.

Publication Details

Journal
ArXiv.org
Published
2025-03-17
Primary Topic
Numerical methods in inverse problems
Type
article
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article

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

ArXiv.org
Numerical methods in inverse problems
article

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

article en

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.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 44%
Numerical methods in inverse problems
Open Access PDFOpenAlex
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On the heat semigroup approach to the geometric Forward-Reverse Brascamp-Lieb inequality · ArXiv.org (2025) | TGRS Research Map | TGRS