Behaviour of the Brascamp--Lieb constant

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Colleges, School and Institutes

Abstract

Recent progress in multilinear harmonic analysis naturally raises questions about the local behaviour of the best constant (or bound) in the general Brascamp--Lieb inequality as a function of the underlying linear transformations. In this paper we prove that this constant is continuous, but is not in general differentiable.

Bibliographic note

8 pages

Details

Original languageEnglish
Pages (from-to)512-518
Number of pages7
JournalBulletin of the London Mathematical Society
Volume49
Issue number3
Early online date5 Apr 2017
Publication statusPublished - Jun 2017

Keywords

  • math.CA