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Tesis Doctoral
Funciones universales para operadores de composición en superficies de Riemann
(1994)
"Esta memoria está dividida en cuatro capítulos. En el Capítulo cero de preliminares introducimos la notación y recordamos los elementos necesarios que utilizaremos más tarde en el resto de este trabajo. De este capítulo ...
Ponencia
Artículo
Subspaces of frequently hypercyclic functions for sequences of composition operators.
(Springer, 2019-02)
In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a complex domain to be frequently hypercyclic is provided. Such a criterion improves some already known ...
Artículo
Holomorphic functions having large images under the action of differential operators
(Elsevier, 1999-02-15)
We prove in this note that, given a simply connected domain G in the complex plane and a sequence of infinite order linear differential operators generated by entire functions of subexponential type satisfying suitable ...
Artículo
Lineability in sequence and function spaces
(Polish Academy of Sciences, Institute of Mathematics, 2017)
It is proved the existence of large algebraic structures –including large vector subspaces or infinitely generated free algebras– inside, among others, the family of Lebesgue measurable functions that are surjective in a ...
Artículo
Compositional universality in the N-dimensional ball
(De Gruyter, 2007-05)
It is proved in this note that a sequence of automorphisms on the N-dimensional unit ball acts properly discontinuously if and only if its corresponding sequence of composition operators is universal on the Hardy space of ...
Artículo
Boundary-chaotic behaviour of continuous functions under the action of operators
(Cambridge University Press, 2003-06)
In this paper we introduce two classes of operators on spaces of continuous functions with values in F-spaces under the action of which many functions behave chaotically near the boundary. Several examples, including ...
Artículo
Compositional frequent hypercyclicity on weighted Dirichlet spaces
(The Belgian Mathematical Society, 2010-02)
It is proved that, in most cases, a scalar multiple of a linear-fractional generated composition operator λCϕ acting on a weighted Dirichlet space Sν of holomorphic functions in the open unit disk is frequently hypercyclic ...
Artículo
Vector spaces of non-extendable holomorphic functions
(Springer, 2018-02)
In this paper, the linear structure of the family He(G) of holomorphic functions in a domain G of the complex plane that are not analytically continuable beyond the boundary of G is analyzed. We prove that He(G) contains, ...
Artículo
Monsters in Hardy and Bergman spaces
(Taylor & Francis, 2002)
A monster in the sense of Luh is a holomorphic function on a simply connected domain in the complex plane such that it and all its derivatives and antiderivatives exhibit an extremely wild behaviour near the boundary. In ...