Localised variants of multilinear restriction
Classical Analysis and ODEs
2024-04-09 v1
Abstract
We revisit certain localised variants of the Bennett-Carbery-Tao multilinear restriction theorem, recently proved by Bejenaru. We give a new proof of Bejenaru's theorem, relating the estimates to the theory of Kakeya-Brascamp-Lieb inequalities. Moreover, the new proof allows for a substantial generalisation, exploiting the full power of the Kakeya-Brascamp-Lieb theory.
Cite
@article{arxiv.2404.04754,
title = {Localised variants of multilinear restriction},
author = {David Beltran and Jennifer Duncan and Jonathan Hickman},
journal= {arXiv preprint arXiv:2404.04754},
year = {2024}
}