论文标题
Brascamp-Lieb不平等及其对傅立叶分析的影响
The Brascamp-Lieb inequality and its influence on Fourier analysis
论文作者
论文摘要
Brascamp-Lieb的不平等在分析，数学物理和邻近地区很重要。最近，这些不平等对傅立叶分析，尤其是对傅立叶限制理论产生了深远的影响。在本文中，我们激励并解释了这一联系。我们的许多例子来自一个迅速发展的子区域，称为“脱钩”。作者希望与分析广泛相关的领域研究生可以访问本文。
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.
