Vol. 11, No. 3, 2018

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The endpoint perturbed Brascamp–Lieb inequalities with examples

Ruixiang Zhang

Vol. 11 (2018), No. 3, 555–581
Abstract

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.

Keywords
Brascamp–Lieb inequality, polynomial method
Mathematical Subject Classification 2010
Primary: 42B10
Milestones
Received: 3 May 2016
Revised: 17 May 2017
Accepted: 29 September 2017
Published: 22 November 2017
Authors
Ruixiang Zhang
School of Mathematics
Institute for Advanced Study
Princeton, NJ
United States