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Browsing by Author "Bonilla Ramírez, Antonio Lorenzo"
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Article
Boundarynonregular functions in the disc algebra and in holomorphic Lipschitz spaces
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; LópezSalazar Codes, Jerónimo; Seoane Sepúlveda, Juan Benigno (Springer, 201806)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, 201002)It is proved that, in most cases, a scalar multiple of a linearfractional 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 Ndimensional ball
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; Calderón Moreno, María del Carmen (De Gruyter, 200705)It is proved in this note that a sequence of automorphisms on the Ndimensional unit ball acts properly discontinuously ...

Article
Exponential type of hypercyclic entire functions
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo (Springer, 200204)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, 201301)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, 201905)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 Lanalytic functions along arbitrary curves
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Springer, 200703)Let Ω be a domain in the Ndimensional 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; LópezSalazar Codes, Jerónimo; Seoane Sepúlveda, Juan Benigno (Springer, 201904)We prove the existence of dense linear subspaces, of infinitely generated subalgebras and of infinite dimensional Banach ...

Article
On the growth of zerofree MacLaneuniversal entire functions
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; Costakis, George (Elsevier, 201209)We show that exponential growth is the critical discrete rate of growth for zerofree 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, 200906)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, 20060301)In this note, the existence of translationuniversal 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, 200502)We prove a SeidelWalshtype theorem about universality of a sequence of derivationcomposition operators generated by ...