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arXiv · 2203.11475

The Brascamp-Lieb inequality and its influence on Fourier analysis

Ruixiang Zhang
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Abstract

Brascamp-Lieb inequalities have been important in analysis, mathematical physics and neighboring areas. Recently, these inequalities have had a deep influence on Fourier analysis and, in particular, on Fourier restriction theory. In this article we motivate and explain this connection. A lot of our examples are taken from a rapidly developing subarea called "decoupling". It is the author's hope that this article will be accessible to graduate students in fields broadly related to analysis.

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Ruixiang Zhang. 2022-03-22. The Brascamp-Lieb inequality and its influence on Fourier analysis. https://arxiv.org/abs/2203.11475

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