Maria Kourou

collaborators

3 papers

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

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…