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Browsing by Author "Bernal González, Luis"
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Article
A lot of “counterexamples” to Liouville's theorem
Bernal González, Luis (Elsevier, 19960801)We prove in this paper that, given α ∈ (0, 1/2), there exists a linear manifold M of entire functions satisfying that M ...

Article
A SeidelWalsh theorem with linear differential operators
Bernal González, Luis; Calderón Moreno, María del Carmen (Springer, 199905)Assume that {Sn}∞1 is a sequence of automorphisms of the open unit disk D and that {Tn}∞1 is a sequence of linear differential ...

Article
Algebraic genericity of strictorder integrability
Bernal González, Luis (Polish Academy of Sciences, Institute of Mathematics, 2010)We provide sharp conditions on a measure µ defined on a measurable space X guaranteeing that the family of functions in ...

Article
Backward Φshifts and universality
Bernal González, Luis (Elsevier, 20050601)In this paper we consider spaces of sequences which are valued in a topological space E and study generalized backward ...

Article
Banach spaces of universal Taylor series in the disc algebra
Bernal González, Luis; Jung, Andreas; Müller, Jürgen (Springer, 201609)It is proved that there are large vector spaces of functions in the disc algebra for which every nonzero member satisfies ...

Article
Boundarychaotic behaviour of continuous functions under the action of operators
Bernal González, Luis; Calderón Moreno, María del Carmen (Cambridge University Press, 200306)In this paper we introduce two classes of operators on spaces of continuous functions with values in Fspaces under the ...

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
Common hypercyclic functions for multiples of convolution and nonconvolution operators
Bernal González, Luis (American Mathematical Society, 200911)We prove the existence of a residual set of entire functions, all of whose members are hypercyclic for every nonzero scalar ...

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
Compositionally universal entire functions on the plane and the punctured plane
Bernal González, Luis (Springer, 201306)Necessary/sufficient conditions for a sequence of automorphisms of the complex plane to generate a sequence of composition ...

PhD Thesis
Crecimiento relativo de funciones enteras. Aportaciones al estudio de las funciones enteras con índice exponencial finito
Bernal González, Luis (19840929) 
Article
Cyclicity of coefficient multipliers: Linear structure
Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Springer, 200703)In this paper we characterize various kinds of cyclicity of sequences of coefficient multipliers, which are operators ...

Article
Dense linear manifolds of monsters
Bernal González, Luis; Calderón Moreno, María del Carmen (Elsevier, 200212)In this paper the new concept of totally omnipresent operators is introduced. These operators act on the space of holomorphic ...

Article
Denselineability of sets of Birkhoffuniversal functions with rapid decay
Bernal González, Luis; Calderón Moreno, María del Carmen; Luh, Wolfgang (Elsevier, 20100301)Let A be an unbounded Arakelian set in the complex plane whose complement has infinite inscribed radius, and ψ be an ...

Article
Existence and nonexistence of hypercyclic semigroups
Bernal González, Luis; GrosseErdmann, KarlGoswin (American Mathematical Society, 200703)In these notes we provide a new proof of the existence of a hypercyclic uniformly continuous semigroup of operators on any ...

Article
Exponente de convergencia generalizado de una sucesión compleja
Bernal González, Luis (Universitat de Barcelona, 1987)Our aim in this paper is to give several new expressions for the kthconvergence exponent of a complex sequence, and an extension of this concept to a certain class of real functions.

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 ...