M. Mitrea

collaborators

3 papers

math.CA2026

Characterizations of Lyapunov domains in terms of Riesz transforms and the Plemelj-Privalov theorem

Juan JosÃ© MarÃn, JosÃ© MarÃa Martell, Dorina Mitrea +1

We prove several characterizations of $C^{1, I ¨ }$ -domains (aka Lyapunov domains), where $I ¨ $ is a growth function satisfying natural assumptions. For example, given an Ahl…

math.AP2026

The Green Function for Elliptic Systems in the Upper-Half Space

Martin DindoÅ¡, Dorina Mitrea, Irina Mitrea +1

Let $L$ be a second-order, homogeneous, constant (complex) coefficient elliptic system in $R^{n}$ . The goal of this article is provide a qualitative and quantitative study…

math.AP2025

Riesz Transform Characterizations of $H^{1}$ 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 $R^{n}$ , and study the extent to which they can be used to characterize function sp…

Characterizations of Lyapunov domains in terms of Riesz transforms and the Plemelj-Privalov theorem

The Green Function for Elliptic Systems in the Upper-Half Space

Riesz Transform Characterizations of H1 and {\rm BMO} on Ahlfors Regular Sets with Small Oscillations

Riesz Transform Characterizations of $H^{1}$ and {\rm BMO} on Ahlfors Regular Sets with Small Oscillations