3 papers
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 conjecture in higher dimension: we characterise those Ahlfors-David regular domains in $\mathbb{R}^{n…
math.CA2024
Quantitative control on the Carleson -function determines regularity
Emily Casey
Carleson's -conjecture states that for Jordan domains in , points on the boundary where tangents exist can be characterized in terms of the behavior of…
math.AP2023
Rectifiability and tangents in a rough Riemannian setting
Emily Casey, Max Goering, Tatiana Toro +1
Characterizing rectifiability of Radon measures in Euclidean space has led to fundamental contributions to geometric measure theory. Conditions involving existence of principal val…