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.

中文翻译：

---

Carleson 的 $\varepsilon ^2$-猜想的证明 | 数学年鉴

在本文中，我们提供了 Carleson $\varepsilon ^2$ 猜想的证明。该结果根据相关联的 Carleson $\varepsilon ^2$-square 函数的有限性产生了 Jordan 曲线切点的特征（最多为零长度的异常集）。