- idUS
- Browsing by Author
Browsing by Author "Bonilla Ramírez, Antonio Lorenzo"
Now showing items 1-17 of 17
-
Article
Boundary-nonregular functions in the disc algebra and in holomorphic Lipschitz spaces
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; López-Salazar Codes, Jerónimo; Seoane Sepúlveda, Juan Benigno (Springer, 2018-06)We prove in this paper the existence of dense linear subspaces in the classical holomorphic Lipschitz spaces in the disc ...
-
Article
Compositional frequent hypercyclicity on weighted Dirichlet spaces
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo (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 ...
-
Article
Compositional hypercyclicity equals supercyclicity
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; Calderón Moreno, María del Carmen (University of Houston, 2007)In this note it is proved that the sequence of composition operators generated by automorphisms of a simply connected ...
-
Article
Compositional universality in the N-dimensional ball
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; Calderón Moreno, María del Carmen (De Gruyter, 2007-05)It is proved in this note that a sequence of automorphisms on the N-dimensional unit ball acts properly discontinuously ...
-
Article
Exponential type of hypercyclic entire functions
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo (Springer, 2002-04)In this paper the exponential type of hypercyclic entire functions with respect to a sequence (Φn(D)) of differential ...
-
Article
Families of strongly annular functions: linear structure
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo (Springer, 2013-01)A function f holomorphic in the unit disk D is called strongly annular if there exists a sequence of concentric circles ...
-
Article
Hausdorff and Box dimensions of continuous functions and lineability
Bonilla Ramírez, Antonio Lorenzo; Muñoz Fernández, Gustavo Adolfo; Prado Bassas, José Antonio; Seoane Sepúlveda, Juan Benigno (Taylor & Francis, 2019-05)Given s ∈ (1, 2], we study (among other questions) the algebraic genericity of the set of continuous functions f : [0, 1] → R whose graph has Hausdorff (or Box) dimension exactly s.
-
Article
Maximal cluster sets of L-analytic functions along arbitrary curves
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Springer, 2007-03)Let Ω be a domain in the N-dimensional real space, L be an elliptic differential operator, and (Tn) be a sequence whose ...
-
Article
Nowhere hölderian functions and Pringsheim singular functions in the disc algebra
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; López-Salazar Codes, Jerónimo; Seoane Sepúlveda, Juan Benigno (Springer, 2019-04)We prove the existence of dense linear subspaces, of infinitely generated subalgebras and of infinite dimensional Banach ...
-
Article
On the growth of zero-free MacLane-universal entire functions
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; Costakis, George (Elsevier, 2012-09)We show that exponential growth is the critical discrete rate of growth for zero-free entire functions which are universal ...
-
Article
On universality of composition operators in several variables
Bonilla Ramírez, Antonio Lorenzo; Calderón Moreno, María del Carmen (University of Houston, 2001)In this paper we characterize the universality of a sequence of composition operators generated by automorphisms of the ...
-
Article
Order of growth of distributional irregular entire functions for the differentiation operator
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo (Taylor & Francis, 2016)We study the rate of growth of entire functions that are distributionally irregular for the differentiation operator D. ...
-
Article
Rate of growth of hypercyclic and frequently hypercyclic functions for the Dunkl operator
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo (Springer, 2016)For the Dunkl operator Λα (α > −1/2) on the space of entire functions on the complex space C, the critical rate of growth ...
-
Article
Universal functions with prescribed zeros and interpolation properties
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; Niess, Markus (University of Michigan, 2009) -
Article
Universal Taylor series with maximal cluster sets
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Consejo Superior de Investigaciones Científicas, 2009-06)We link the overconvergence properties of certain Taylor series in the unit disk to the maximality of their cluster sets, ...
-
Article
Universality of holomorphic functions bounded on closed sets
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo (Elsevier, 2006-03-01)In this note, the existence of translation-universal entire functions which are bounded on certain closed subsets is ...
-
Article
Universality on higher order Hardy spaces
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; Calderón Moreno, María del Carmen (Cambridge University Press, 2005-02)We prove a Seidel-Walsh-type theorem about universality of a sequence of derivation-composition operators generated by ...