A short proof of ℓ2 decoupling for the moment curve

Shaoming Guo, Zane Kun Li, Po‐Lam Yung, Pavel Zorin‐Kranich

Type: Article

Publication Date: 2021-01-01

Citations: 10

DOI: https://doi.org/10.1353/ajm.2021.0048

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).

Locations

American Journal of Mathematics - View
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