Uniform $l^2$-decoupling in $\mathbb R^2$ for Polynomials
Classical Analysis and ODEs
2021-03-30 v2 Number Theory
Abstract
For each positive integer , we prove a uniform -decoupling inequality for the collection of all polynomials phases of degree at most . 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.
Cite
@article{arxiv.2006.03135,
title = {Uniform $l^2$-decoupling in $\mathbb R^2$ for Polynomials},
author = {Tongou Yang},
journal= {arXiv preprint arXiv:2006.03135},
year = {2021}
}
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