A proof of Carleson's 𝜀2-conjecture

IF 5.7 1区数学 Q1 MATHEMATICS

Annals of Mathematics Pub Date : 2019-09-18 DOI:10.4007/annals.2021.194.1.2

B. Jaye, X. Tolsa, Michele Villa

引用次数: 5

Abstract

In this paper we provide a proof of the Carleson $\varepsilon^2$-conjecture. This result yields a characterization (up to exceptional sets of zero length) of the tangent points of a Jordan curve in terms of the finiteness of the associated Carleson $\varepsilon^2$-square function.

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证明了卡尔森的𝜀2-conjecture

本文给出了Carleson$\varepsilon^2$-猜想的一个证明。该结果根据相关Carleson$\varepsilon^2$-平方函数的有限性给出了Jordan曲线切点的特征（直到零长度的例外集合）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annals of Mathematics 数学-数学

CiteScore

9.10

自引率

2.00%

发文量

审稿时长

12 months

期刊介绍： The Annals of Mathematics is published bimonthly by the Department of Mathematics at Princeton University with the cooperation of the Institute for Advanced Study. Founded in 1884 by Ormond Stone of the University of Virginia, the journal was transferred in 1899 to Harvard University, and in 1911 to Princeton University. Since 1933, the Annals has been edited jointly by Princeton University and the Institute for Advanced Study.