Mirela Kohr

collaborators

4 papers

math.CV2024

Bieberbach conjecture, Bohr radius, Bloch constant and Alexander's theorem in infinite dimensions

Hidetaka Hamada, Gabriela Kohr, Mirela Kohr

In this paper, we investigate holomorphic mappings $F$ on the unit ball $B$ of a complex Banach space of the form $F (x) = f (x) x$ , where $f$ is a holomorphic function on $\ma…

math.CV2023

Loewner PDE in infinite dimensions

Ian Graham, Hidetaka Hamada, Gabriela Kohr +1

In this paper, we prove the existence and uniqueness of the solution $f (z, t)$ of the Loewner PDE with normalization $D f (0, t) = e^{t A}$ , where $A \in L (X, X)$ is such that $k_+(A)<2m(A)…

math.AP2023

Layer potentials and essentially translation invariant pseudodifferential operators on manifolds with cylindrical ends

Mirela Kohr, Victor Nistor, Wolfgang L. Wendland

Motivated by the study of layer potentials on manifolds with straight conical or cylindrical ends, we introduce and study two classes (or calculi) of pseudodifferential operators d…

math.AP2023

The $L^{2}$ -unique continuation property on manifolds with bounded geometry and the deformation operator

Nadine Große, Mirela Kohr, Victor Nistor

A differential operator $T$ satisfies the $L^{2}$ -unique continuation property if every $L^{2}$ -solution of $T$ that vanishes on an open subset vanishes identically. We study the $L^{2}$ …

Bieberbach conjecture, Bohr radius, Bloch constant and Alexander's theorem in infinite dimensions

Loewner PDE in infinite dimensions

Layer potentials and essentially translation invariant pseudodifferential operators on manifolds with cylindrical ends

The L2-unique continuation property on manifolds with bounded geometry and the deformation operator

The $L^{2}$ -unique continuation property on manifolds with bounded geometry and the deformation operator