Localised variants of multilinear restriction
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910401729396736 |
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| author | Beltran, David Duncan, Jennifer Hickman, Jonathan |
| author_facet | Beltran, David Duncan, Jennifer Hickman, Jonathan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04754 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Localised variants of multilinear restriction Beltran, David Duncan, Jennifer Hickman, Jonathan Classical Analysis and ODEs 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. |
| title | Localised variants of multilinear restriction |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2404.04754 |