Localised variants of multilinear restriction

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David Beltran
Universitat de Val`encia. Departament d’An`alisi Matem`atica
https://orcid.org/0000-0001-6711-9741
Jennifer Duncan
Universidad Aut´onoma de Madrid. Departamento de Matem´aticas
https://orcid.org/0009-0002-0673-8818
Jonathan Hickman
University of Edinburgh. School of Mathematics
https://orcid.org/0000-0002-8193-0925

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.

Paraules clau
multilinear Fourier restriction, multilinear Kakeya, Brascamp–Lieb inequalities

Article Details

Com citar
Beltran, David et al. «Localised variants of multilinear restriction». Publicacions Matemàtiques, 2026, vol.VOL 70, núm. 1, p. 133-60, doi:10.5565/PUBLMAT7012606.
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(c) 2026

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