Benjamin Jaye, Xavier Tolsa, Michele Villa
Published 2019-09-18Version 1
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.
Exceptional sets of projections, unions of k-planes, and associated transforms
Carleson's $\varepsilon^2$ conjecture in higher dimensions
Exceptional sets for length under restricted families of projections onto lines in $\mathbb{R}^3$
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