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math.CA2026
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…
math.AP2026
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…