Emily Casey

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math.CA2025

Quantitative Carleson's conjecture for Ahlfors regular domains

Emily Casey, Xavier Tolsa, Michele Villa

In this article, we prove a quantitative version of Carleson's $ε^{2}$ conjecture in higher dimension: we characterise those Ahlfors-David regular domains in $\mathbb{R}^{n…

math.CA2024

Quantitative control on the Carleson $ε$ -function determines regularity

Emily Casey

Carleson's $ε^{2}$ -conjecture states that for Jordan domains in $R^{2}$ , points on the boundary where tangents exist can be characterized in terms of the behavior of…

Quantitative Carleson's conjecture for Ahlfors regular domains

Quantitative control on the Carleson ε-function determines regularity

Quantitative control on the Carleson $ε$ -function determines regularity