1 citations · 1 across the 11 of their papers we have counts for
13 papers
Compact and Hilbert-Schmidt composition operators on weighted Hardy spaces
Francisco J. Cruz-Zamorano, Eugenio Dellepiane, Daniel Seco
Lefèvre, Li, Queffélec, and Rodríguez-Piazza [12] recently characterized the sequences for which the weighted Hardy space has the same bounded composition operators as…
The Bergman and the growth numbers of domains and hyperbolic geometry
Manuel D. Contreras, Francisco J. Cruz-Zamorano, Luis Rodríguez-Piazza
In this article we completely characterize the Bergman number of general domains. Namely, we prove that the Bergman number of a hyperbolic unbounded domain can be calculated in ter…
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…
On the Hardy number and the Bergman number of a planar domain
Dimitrios Betsakos, Francisco J. Cruz-Zamorano
This article deals with functions with a prefixed range and their inclusions in Hardy and weighted Bergman spaces. This idea was originally introduced by Hansen for Hardy spaces, a…
On the rates of convergence of orbits in semigroups of holomorphic functions
Dimitrios Betsakos, Francisco J. Cruz-Zamorano, Konstantinos Zarvalis
Let be a continuous semigroup of holomorphic self-maps of the unit disk with Denjoy-Wolff point . We study the rate of convergence o…
Examples in Discrete Iteration of Arbitrary Intervals of Slopes
Manuel D. Contreras, Francisco J. Cruz-Zamorano, Luis Rodríguez-Piazza
Given a compact interval , we construct a parabolic self-map of the upper half-plane whose set of slopes is . The nature of this construction is complet…
The Hardy number and the Bergman number of a planar domain are equal
Dimitrios Betsakos, Francisco J. Cruz-Zamorano
This article deals with functions with a prefixed range and their inclusion in Hardy and weighted Bergman spaces. This idea was originally introduced by Hansen for Hardy spaces, an…
Characterization of finite shift via Herglotz's representation
Francisco J. Cruz-Zamorano
A complete characterization of parabolic self-maps of finite shift is given in terms of their Herglotz's representation. This improves a previous result due to Contreras, Díaz-Madr…
Hardy Number of Koenigs Domains: Sharp Estimate
Manuel D. Contreras, Francisco J. Cruz-Zamorano, Maria Kourou +1
Let be a regular Koenigs domain in the complex plane . We prove that the Hardy number of is greater or equal to . That is, every holomorphic function in th…
The Slope Problem in Discrete Iteration
Manuel D. Contreras, Francisco J. Cruz-Zamorano, Luis Rodríguez-Piazza
The slope problem in holomorphic dynamics in the unit disk goes back to Wolff in 1929. However, there have been several contributions to this problem in the last decade. In this ar…
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…
Characterization of the hyperbolic step of parabolic functions
Manuel D. Contreras, Francisco J. Cruz-Zamorano, Luis Rodríguez-Piazza
A classical problem in Complex Dynamics on hyperbolic domains is to characterize the hyperbolic step of parabolic functions. This topic has been studied by several authors, leading…