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

Published 18 Sep 2019 in math.CA, math.AP, and math.MG | (1909.08581v2)

Abstract: In this paper we provide a proof of the Carleson $\varepsilon2$-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 $\varepsilon2$-square function.

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