$Uniform $l^2$-decoupling in $\mathbb R^2$ for Polynomials$

Uniform $l^2$-decoupling in $\mathbb R^2$ for Polynomials

For each positive integer $d$, we prove a uniform $l^2$-decoupling inequality for the collection of all polynomials phases of degree at most $d$. Our result is intimately related to \cite{MR4078083}, but we use a different partition that is determined by the geometry of each individual phase f...

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Veröffentlicht in:	arXiv.org 2021-03
1. Verfasser:	Yang, Tongou
Format:	Artikel
Sprache:	eng
Schlagworte:	Decoupling Polynomials
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	For each positive integer $d$, we prove a uniform $l^2$-decoupling inequality for the collection of all polynomials phases of degree at most $d$. Our result is intimately related to \cite{MR4078083}, but we use a different partition that is determined by the geometry of each individual phase function.
ISSN:	2331-8422
DOI:	10.48550/arxiv.2006.03135

Zusammenfassung:	For each positive integer \(d\), we prove a uniform \(l^2\)-decoupling inequality for the collection of all polynomials phases of degree at most \(d\). Our result is intimately related to \cite{MR4078083}, but we use a different partition that is determined by the geometry of each individual phase function.
ISSN:	2331-8422
DOI:	10.48550/arxiv.2006.03135

Uniform \(l^2\)-decoupling in \(\mathbb R^2\) for Polynomials