3 papers
math.AP2025
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…
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…