Sharp $\ell^q(L^p)$ decoupling for paraboloids
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909188988338176 |
|---|---|
| author | Yang, Tongou |
| author_facet | Yang, Tongou |
| contents | In this short expository note, we prove the following result, which is a special case of the main theorem in arXiv:2011.09451. For each $n \ge 2$ and $p, q \in [2, \infty]$, we prove upper bounds of $\ell^q(L^p)$ decoupling constants for paraboloids in $\mathbb R^n$, as well as presenting extremisers for each case. Both are sharp up to $\varepsilon$-losses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_17748 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sharp $\ell^q(L^p)$ decoupling for paraboloids Yang, Tongou Classical Analysis and ODEs 42B15, 42B20 In this short expository note, we prove the following result, which is a special case of the main theorem in arXiv:2011.09451. For each $n \ge 2$ and $p, q \in [2, \infty]$, we prove upper bounds of $\ell^q(L^p)$ decoupling constants for paraboloids in $\mathbb R^n$, as well as presenting extremisers for each case. Both are sharp up to $\varepsilon$-losses. |
| title | Sharp $\ell^q(L^p)$ decoupling for paraboloids |
| topic | Classical Analysis and ODEs 42B15, 42B20 |
| url | https://arxiv.org/abs/2404.17748 |