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arXiv · 2411.18016

On the small cap decoupling for the moment curve in $\mathbb{R}^3$

Dominique Maldague·Changkeun Oh
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Abstract

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 $\mathbb{R}^3$.

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Dominique Maldague, Changkeun Oh. 2024-11-27. On the small cap decoupling for the moment curve in $\mathbb{R}^3$. https://arxiv.org/abs/2411.18016

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