7 citations · 9 across the 5 of their papers we have counts for
5 papers
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…
The two-phase problem for harmonic measure in VMO and the chord-arc condition
Xavier Tolsa, Tatiana Toro
Let be a bounded -Reifenberg flat domain, with small enough, possibly with locally infinite surface measure. Assume also that $Ω^-= \mathbb R^{…
Uniform rectifiability and elliptic operators satisfying a Carleson measure condition. Part II: The large constant case
Steve Hofmann, José María Martell, Svitlana Mayboroda +2
The present paper, along with its companion [Hofmann, Martell, Mayboroda, Toro, Zhao, arXiv:1710.06157], establishes the correspondence between the properties of the solutions of a…
Uniform rectifiability and elliptic operators satisfying a Carleson measure condition. Part I: The small constant case
Steve Hofmann, José María Martell, Svitlana Mayboroda +2
The present paper, along with its sequel, establishes the correspondence between the properties of the solutions of a class of PDEs and the geometry of sets in Euclidean space. We…
Stability of Lewis and Vogel's result
D Preiss, T. Toro
Lewis and Vogel proved that a bounded domain whose Poisson kernel is constant and whose surface measure to the boundary has at most Euclidean growth is a ball. In this paper we sho…