A SHORT PROOF OF ℓ2 DECOUPLING FOR THE MOMENT CURVE

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

doi:10.1353/ajm.2021.0048

A SHORT PROOF OF ℓ² DECOUPLING FOR THE MOMENT CURVE

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

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We give a short and elementary proof of the ℓ² decoupling inequality for the moment curve in R̂_k, using a bilinear approach inspired by the nested efficient congruencing argument of Wooley.

Original language	English
Pages (from-to)	1983-1998
Number of pages	16
Journal	American Journal of Mathematics
Volume	143
Issue number	6
DOIs	https://doi.org/10.1353/ajm.2021.0048
Publication status	Published - Dec 2021

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abstract = "We give a short and elementary proof of the ℓ2 decoupling inequality for the moment curve in {\^R}k, using a bilinear approach inspired by the nested efficient congruencing argument of Wooley.",

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A SHORT PROOF OF ℓ2 DECOUPLING FOR THE MOMENT CURVE

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A SHORT PROOF OF ℓ² DECOUPLING FOR THE MOMENT CURVE