22 citations · 81 across the 13 of their papers we have counts for
13 papers
The Solution to Agmon's Conjecture for the polylaplacian
Artur Andrade, Dorina Mitrea, Irina Mitrea +1
In his 1957 paper on the Dirichlet problem for higher-order elliptic equations in the plane, Agmon conjectured that there should exist higher-order equations in dimensions greater…
Characterizations of Lyapunov domains in terms of Riesz transforms and the Plemelj-Privalov theorem
Juan José Marín, José María Martell, Dorina Mitrea +1
We prove several characterizations of -domains (aka Lyapunov domains), where is a growth function satisfying natural assumptions. For example, given an Ahlfo…
The Green Function for Elliptic Systems in the Upper-Half Space
Martin Dindoš, Dorina Mitrea, Irina Mitrea +1
Let be a second-order, homogeneous, constant (complex) coefficient elliptic system in . The goal of this article is provide a qualitative and quantitative study…
Riesz Transform Characterizations of and {\rm BMO} on Ahlfors Regular Sets with Small Oscillations
Dorina Mitrea, Irina Mitrea, Marius Mitrea
We employ the Riesz transform as a means for describing geometric properties of sets in , and study the extent to which they can be used to characterize function sp…
Fatou-Type Theorems and Boundary Value Problems for Elliptic Systems in the Upper Half-Space
José María Martell, Dorina Mitrea, Irina Mitrea +1
We survey recent progress in a program aimed at proving general Fatou-type results and establishing the well-posedness of a variety of boundary value problems in the upper half-spa…
The BMO-Dirichlet problem for elliptic systems in the upper-half space and quantitative characterizations of VMO
José María Martell, Dorina Mitrea, Irina Mitrea +1
We prove that for any homogeneous, second order, constant complex coefficient elliptic system , the Dirichlet problem in with boundary data in BMO is well-p…