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arXiv · 2404.04754

Localised variants of multilinear restriction

David Beltran·Jennifer Duncan·Jonathan Hickman
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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.

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David Beltran, Jennifer Duncan, Jonathan Hickman. 2024-04-06. Localised variants of multilinear restriction. https://arxiv.org/abs/2404.04754

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