9 citations · 15 across the 2 of their papers we have counts for
3 papers
math.AP2019
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…
math.AP2013★ 9 cited
-Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets
Steve Hofmann, Dorina Mitrea, Marius Mitrea +1
We establish square function estimates for integral operators on uniformly rectifiable sets by proving a local theorem and applying it to show that such estimates are stable…
math.AP2012★ 6 cited
Extending Sobolev Functions with Partially Vanishing Traces from Locally (epsilon,delta)-Domains and Applications to Mixed Boundary Problems
Kevin Brewster, Dorina Mitrea, Irina Mitrea +1
We prove that given any positive integer , for each open set and any closed subset of its closure such that is locally an (epsilon,delta)-domain near points in the b…