English

The Endpoint Perturbed Brascamp-Lieb Inequality with Examples

Classical Analysis and ODEs 2018-03-16 v2

Abstract

We prove the folklore endpoint multilinear kjk_j-plane conjecture originated from the paper \cite{bennett2006multilinear} of Bennett, Carbery and Tao. Along the way we prove a more general result, namely the endpoint multilinear kjk_j-variety theorem. Finally, we generalize our results to the endpoint perturbed Beascamp-Lieb inequality using techniques in this paper.

Cite

@article{arxiv.1510.09132,
  title  = {The Endpoint Perturbed Brascamp-Lieb Inequality with Examples},
  author = {Ruixiang Zhang},
  journal= {arXiv preprint arXiv:1510.09132},
  year   = {2018}
}

Comments

Consequent progress on the endpoint multilinear restriction conjecture added as comments. Minor typos corrected

R2 v1 2026-06-22T11:33:14.656Z