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arXiv · 1912.09798

A short proof of $\ell^2$ decoupling for the moment curve

Shaoming Guo·Zane Kun Li·Po-Lam Yung·Pavel Zorin-Kranich
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Abstract

We give a short and elementary proof of the $\ell^{2}$ decoupling inequality for the moment curve in $\mathbb{R}^k$, using a bilinear approach inspired by the nested efficient congruencing argument of Wooley (arXiv:1708.01220).

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Shaoming Guo, Zane Kun Li, Po-Lam Yung, Pavel Zorin-Kranich. 2019-12-20. A short proof of $\ell^2$ decoupling for the moment curve. https://doi.org/10.1353/ajm.2021.0048

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