Analysis & PDE

  • Anal. PDE
  • Volume 11, Number 3 (2018), 555-581.

The endpoint perturbed Brascamp–Lieb inequalities with examples

Ruixiang Zhang

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We prove the folklore endpoint multilinear kj-plane conjecture originating in a paper of Bennett, Carbery and Tao where the almost sharp multilinear Kakeya estimate was proved. Along the way we prove a more general result, namely the endpoint multilinear kj-variety theorem. Finally, we generalize our results to the endpoint perturbed Brascamp–Lieb inequalities using techniques in earlier sections.

Article information

Anal. PDE, Volume 11, Number 3 (2018), 555-581.

Received: 3 May 2016
Revised: 17 May 2017
Accepted: 29 September 2017
First available in Project Euclid: 20 December 2017

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 42B10: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type

Brascamp–Lieb inequality polynomial method


Zhang, Ruixiang. The endpoint perturbed Brascamp–Lieb inequalities with examples. Anal. PDE 11 (2018), no. 3, 555--581. doi:10.2140/apde.2018.11.555.

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