Sharpness of the Brascamp–Lieb inequality in Lorentz spaces

Q3 Mathematics

Electronic Research Announcements in Mathematical Sciences Pub Date : 2017-06-01 DOI:10.3934/ERA.2017.24.006

N. Bez, Sanghyuk Lee, Shohei Nakamura, Y. Sawano

引用次数: 10

Abstract

We provide necessary conditions for the refined version of the Brascamp-Lieb inequality where the input functions are allowed to belong to Lorentz spaces, thereby establishing the sharpness of the range of Lorentz exponents in the subcritical case. Using similar considerations, some sharp refinements of the Strichartz estimates for the kinetic transport equation are established.

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Lorentz空间中Brascamp-Lieb不等式的锐度

我们提供了允许输入函数属于洛伦兹空间的改进版Brascamp-Lieb不等式的必要条件，从而建立了亚临界情况下洛伦兹指数范围的锐利性。利用类似的考虑，对动力学输运方程的Strichartz估计进行了一些尖锐的改进。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electronic Research Announcements in Mathematical Sciences 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Electronic Research Archive (ERA), formerly known as Electronic Research Announcements in Mathematical Sciences, rapidly publishes original and expository full-length articles of significant advances in all branches of mathematics. All articles should be designed to communicate their contents to a broad mathematical audience and must meet high standards for mathematical content and clarity. After review and acceptance, articles enter production for immediate publication. ERA is the continuation of Electronic Research Announcements of the AMS published by the American Mathematical Society, 1995—2007