On the small cap decoupling for the moment curve in $\mathbb{R}^3$
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917849764724736 |
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| author | Maldague, Dominique Oh, Changkeun |
| author_facet | Maldague, Dominique Oh, Changkeun |
| contents | This paper proves sharp small cap decoupling estimates for the moment curve $\mathcal{M}^n=\{(t,t^2,\ldots,t^n):0\leq t\leq 1\}$ in the remaining small cap parameter ranges for $\mathbb{R}^2$ and $\mathbb{R}^3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18016 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the small cap decoupling for the moment curve in $\mathbb{R}^3$ Maldague, Dominique Oh, Changkeun Classical Analysis and ODEs This paper proves sharp small cap decoupling estimates for the moment curve $\mathcal{M}^n=\{(t,t^2,\ldots,t^n):0\leq t\leq 1\}$ in the remaining small cap parameter ranges for $\mathbb{R}^2$ and $\mathbb{R}^3$. |
| title | On the small cap decoupling for the moment curve in $\mathbb{R}^3$ |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2411.18016 |