A note on small cap square function and decoupling estimates for the parabola
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866910046103797760 |
|---|---|
| author | Kim, Jongchon Wang, Liang Yeung, Chun Keung |
| author_facet | Kim, Jongchon Wang, Liang Yeung, Chun Keung |
| contents | In this paper, we prove small cap square function and decoupling estimates for the parabola, where the small caps are essentially axis-parallel rectangles of dimensions $δ\times δ^β$ for $0\leq β\leq 1$. Our estimates complement the known results for $1 \leq β\leq 2$ and are sharp up to polylogarithmic factors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_07934 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A note on small cap square function and decoupling estimates for the parabola Kim, Jongchon Wang, Liang Yeung, Chun Keung Classical Analysis and ODEs In this paper, we prove small cap square function and decoupling estimates for the parabola, where the small caps are essentially axis-parallel rectangles of dimensions $δ\times δ^β$ for $0\leq β\leq 1$. Our estimates complement the known results for $1 \leq β\leq 2$ and are sharp up to polylogarithmic factors. |
| title | A note on small cap square function and decoupling estimates for the parabola |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2603.07934 |