The Brascamp-Lieb inequality and its influence on Fourier analysis
Classical Analysis and ODEs
2022-06-03 v2 Mathematical Physics
Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.2203.11475,
title = {The Brascamp-Lieb inequality and its influence on Fourier analysis},
author = {Ruixiang Zhang},
journal= {arXiv preprint arXiv:2203.11475},
year = {2022}
}
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38 pages