Stability of the Brascamp-Lieb constant and applications

Research output: Contribution to journalArticlepeer-review

Colleges, School and Institutes

External organisations

  • Saitama University
  • Seoul National University

Abstract

We prove that the best constant in the general Brascamp-Lieb inequality is a locally bounded function of the underlying linear transformations. As applications we deduce certain very general Fourier restriction, Kakeya-type, and nonlinear variants of the Brascamp-Lieb inequality which have arisen recently in harmonic analysis.

Details

Original languageEnglish
Pages (from-to)543-569
Number of pages28
JournalAmerican Journal of Mathematics
Volume140
Issue number2
Early online date16 Mar 2018
Publication statusPublished - Apr 2018

Keywords

  • math.CA