2 citations · 2 across the 1 of their papers we have counts for
8 papers
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…
Riesz -capacity of Cantor sets and cyclicity in Dirichlet-type spaces
Dimitrios Vavitsas, Jujie Wu, Konstantinos Zarvalis
We examine the threshold of the cyclicity for functions in Dirichlet-type spaces , . Given a fixed , we construct a holomorphic function…
From discrete iteration in the unit disc to continuous semigroups of holomorphic functions
Argyrios Christodoulou, Konstantinos Zarvalis
The main goal of this article is to bring together the theories of holomorphic iteration in the unit disc and semigroups of holomorphic functions. We develop a technique that allow…
Extremal rate of convergence in continuous dynamics
Francisco J. Cruz-Zamorano, Konstantinos Zarvalis
This paper deals with semigroups of holomorphic self-maps of the upper half-plane that exhibit an extremal (i.e. the slowest possible) rate of convergence to their Denjoy--Wolff po…
Extremal rate of convergence in discrete hyperbolic and parabolic dynamics
Francisco J. Cruz-Zamorano, Konstantinos Zarvalis
This paper investigates the dynamical behaviour of holomorphic self-maps of the upper half-plane. More precisely, we focus on the hyperbolic and parabolic self-maps whose orbits ap…
Semigroups of holomorphic functions; rectifiability and Lipschitz properties of the orbits
Dimitrios Betsakos, Konstantinos Zarvalis
Let be a semigroup of holomorphic functions in the unit disk. We prove that all its orbits are rectifiable and that its forward orbits are Lipschitz curves. Moreover, we f…