A comparison of trilinear testing conditions for the paraboloid Fourier extension and Kakeya conjectures in three dimensions
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917255655194624 |
|---|---|
| author | Sawyer, Eric T. |
| author_facet | Sawyer, Eric T. |
| contents | We compare the smooth Alpert testing condition for the paraboloid Fourier extension conjecture in <cite>RiSa3</cite> to the modulated testing condition for the Kakeya conjecture in <cite>RiSa2</cite>. To this end, the modulated testing condition is converted to a certain restricted smooth Alpert testing condition for the paraboloid Fourier extension conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18457 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A comparison of trilinear testing conditions for the paraboloid Fourier extension and Kakeya conjectures in three dimensions Sawyer, Eric T. Classical Analysis and ODEs 42B20 We compare the smooth Alpert testing condition for the paraboloid Fourier extension conjecture in <cite>RiSa3</cite> to the modulated testing condition for the Kakeya conjecture in <cite>RiSa2</cite>. To this end, the modulated testing condition is converted to a certain restricted smooth Alpert testing condition for the paraboloid Fourier extension conjecture. |
| title | A comparison of trilinear testing conditions for the paraboloid Fourier extension and Kakeya conjectures in three dimensions |
| topic | Classical Analysis and ODEs 42B20 |
| url | https://arxiv.org/abs/2411.18457 |