Stability of the Brascamp-Lieb constant and applications

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Colleges, School and Institutes

External organisations

  • Saitama University
  • Seoul National University


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.


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


  • math.CA