170 citations · 1.4k across the 61 of their papers we have counts for
6 papers · 1 filter
Harmonic measure and quantitative connectivity: geometric characterization of the -solvability of the Dirichlet problem. Part I
Steve Hofmann, José María Martell
Let be an open set, not necessarily connected, with an -dimensional uniformly rectifiable boundary. We show that may be approximated in a…
Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach
Árpád Bényi, José María Martell, Kabe Moen +2
We present a unified method to obtain weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settin…
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…
Perturbations of elliptic operators in 1-sided chord-arc domains. Part I: Small and large perturbation for symmetric operators
Juan Cavero, Steve Hofmann, José María Martell
Let , , be a 1-sided chord-arc domain, that is, a domain which satisfies interior Corkscrew and Harnack Chain conditions (these are respectively s…
Limited range multilinear extrapolation with applications to the bilinear Hilbert transform
David Cruz-Uribe, José María Martell
We prove a limited range, off-diagonal extrapolation theorem that generalizes a number of results in the theory of Rubio de Francia extrapolation, and use this to prove a limited r…
Weighted Hardy spaces associated with elliptic operators. Part II: Characterizations of
José María Martell, Cruz Prisuelos-Arribas
Given a Muckenhoupt weight and a second order divergence form elliptic operator , we consider different versions of the weighted Hardy space defined by conical sq…