Equivalence of linear and trilinear Kakeya conjectures in three dimensions
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916977217372160 |
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| author | Rios, Cristian Sawyer, Eric T. |
| author_facet | Rios, Cristian Sawyer, Eric T. |
| contents | We prove the equivalence of two Kakeya conjectures:
1.The Kakeya maximal operator conjecture
2.The disjoint trilinear dual form of the Kakeya maximal operator conjecture |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_21315 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equivalence of linear and trilinear Kakeya conjectures in three dimensions Rios, Cristian Sawyer, Eric T. Classical Analysis and ODEs 42B05, 42B08, 42B20, 42C40 We prove the equivalence of two Kakeya conjectures: 1.The Kakeya maximal operator conjecture 2.The disjoint trilinear dual form of the Kakeya maximal operator conjecture |
| title | Equivalence of linear and trilinear Kakeya conjectures in three dimensions |
| topic | Classical Analysis and ODEs 42B05, 42B08, 42B20, 42C40 |
| url | https://arxiv.org/abs/2506.21315 |