A single scale smooth Alpert trilinear characterization of the Fourier extension conjecture on the paraboloid in three dimensions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917367207952384 |
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| author | Rios, Cristian Sawyer, Eric T. |
| author_facet | Rios, Cristian Sawyer, Eric T. |
| contents | We show that the Fourier extension conjecture on the paraboloid in three dimensions is equivalent to a local single scale smooth Alpert trilinear inequality, which is an improvement of an analogous multiscale trilinear inequality in arXiv:2506.03992. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23376 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A single scale smooth Alpert trilinear characterization of the Fourier extension conjecture on the paraboloid in three dimensions Rios, Cristian Sawyer, Eric T. Classical Analysis and ODEs 42B05, 42B08, 42B20, 42C40 We show that the Fourier extension conjecture on the paraboloid in three dimensions is equivalent to a local single scale smooth Alpert trilinear inequality, which is an improvement of an analogous multiscale trilinear inequality in arXiv:2506.03992. |
| title | A single scale smooth Alpert trilinear characterization of the Fourier extension conjecture on the paraboloid in three dimensions |
| topic | Classical Analysis and ODEs 42B05, 42B08, 42B20, 42C40 |
| url | https://arxiv.org/abs/2506.23376 |