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arXiv · 1909.08581

A proof of Carleson's $\varepsilon^2$-conjecture

Benjamin Jaye·Xavier Tolsa·Michele Villa
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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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Benjamin Jaye, Xavier Tolsa, Michele Villa. 2019-09-18. A proof of Carleson's $\varepsilon^2$-conjecture. https://arxiv.org/abs/1909.08581

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