Maria Kourou

activity

20202025

most citedAsymptotic monotonicity of the orthogonal speed and rate of convergence for semigroups of holomorphic self-maps of the unit disc

6 citations · 10 across the 10 of their papers we have counts for

collaborators

11 papers

math.CV2025★ 3 cited

Eigenvalues for Infinitesimal Generators of Semigroups of Composition Operators

Maria Kourou, Eleftherios K. Theodosiadis, Konstantinos Zarvalis

We study the eigenvalues for infinitesimal generators of semigroups of composition operators acting on Hardy spaces, Bergman spaces, and the Dirichlet space. Such semigroups are in…

math.CV2024★ 1 cited

Hyperbolic distortion and conformality at the boundary

Pavel Gumenyuk, Maria Kourou, Annika Moucha +1

We characterize two classical types of conformality of a holomorphic self-map of the unit disk at a boundary point - existence of a finite angular derivative in the sense of Carath…

math.CV2024

Hardy Number of Koenigs Domains: Sharp Estimate

Manuel D. Contreras, Francisco J. Cruz-Zamorano, Maria Kourou +1

Let $Ω$ be a regular Koenigs domain in the complex plane $C$ . We prove that the Hardy number of $Ω$ is greater or equal to $1/2$ . That is, every holomorphic function in th…

math.CV2024

Rates of convergence for holomorphic semigroups of finite shift

Maria Kourou, Eleftherios K. Theodosiadis, Konstantinos Zarvalis

We study parabolic semigroups of finite shift in the unit disk with regard to the rate of convergence of their orbits to the Denjoy--Wolff point. We examine this rate in terms of E…

math.CV2023

On the Hardy number of Koenigs domains

Manuel D. Contreras, Francisco J. Cruz-Zamorano, Maria Kourou +1

This work studies the Hardy number for the class of hyperbolic planar domains satisfying Abel's inclusion property, which are usually known as Koenigs domains. More explicitly, we…

math.CV2023

Speeds of Convergence for Petals of Semigroups of Holomorphic Functions

Maria Kourou, Konstantinos Zarvalis

We study the backward dynamics of one-parameter semigroups of holomorphic self-maps of the unit disk. More specifically, we introduce the speeds of convergence for petals of the se…

math.CV2023

The angular derivative problem for petals of one-parameter semigroups in the unit disk

Pavel Gumenyuk, Maria Kourou, Oliver Roth

We study the angular derivative problem for petals of one-parameter semigroups of holomorphic self-maps of the unit disk. For hyperbolic petals we prove a necessary and sufficient…

math.CV2022

Geometric Versions of Schwarz's Lemma for Spherically Convex Functions

Maria Kourou, Oliver Roth

We prove several sharp distortion and monotonicity theorems for spherically convex functions defined on the unit disk involving geometric quantities such as spherical length, spher…

math.CV2021

Compact Sets in Petals and their Backward Orbits under Semigroups of Holomorphic Functions

Maria Kourou, Konstantinos Zarvalis

Let $(ϕ_{t})_{t \geq 0}$ be a semigroup of holomorphic functions in the unit disk $D$ and $K$ a compact subset of $D$ . We investigate the conditions under which the…

math.CV2020

On the spectral value of Semigroups of Holomorphic Functions

Maria Kourou

Let $(ϕ_{t})_{t \geq 0}$ be a semigroup of holomorphic self-maps of the unit disk $D$ with Denjoy-Wolff point $τ = 1$ . The angular derivative is $ϕ_{t}^{'} (1) = e^{- λ t}$ , wh…

math.CV2020★ 6 cited

Asymptotic monotonicity of the orthogonal speed and rate of convergence for semigroups of holomorphic self-maps of the unit disc

Flippo Bracci, Davide Cordella, Maria Kourou

We show that the orthogonal speed of semigroups of holomorphic self-maps of the unit disc is asymptotically monotone in most cases. Such a theorem allows to generalize previous res…