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Artículo
The set of space-filling curves: topological and algebraic structure
(Elsevier, 2015-02-15)
In this paper, a study of topological and algebraic properties of two families of functions from the unit interval I into the plane R2 is performed. The first family is the collection of all Peano curves, that is, of those ...
Artículo
Universality on higher order Hardy spaces
(Cambridge University Press, 2005-02)
We prove a Seidel-Walsh-type theorem about universality of a sequence of derivation-composition operators generated by automorphisms of the unit disk in the setting of the higher order Hardy spaces. Moreover, some related ...
Artículo
Hypercyclic algebras for D-multiples of convolution operators
(American Mathematical Society, 2019-02)
It is shown in this short note the existence, for each nonzero member of the ideal of D-multiples of convolution operators acting on the space of entire functions, of a scalar multiple of it supporting a hypercyclic algebra.
Artículo
Dense linear manifolds of monsters
(Elsevier, 2002-12)
In this paper the new concept of totally omnipresent operators is introduced. These operators act on the space of holomorphic functions of a domain in the complex plane. The concept is more restrictive than that of ...
Artículo
Undominated Sequences of Integrable Functions
(Springer Nature, 2020-10-20)
In this paper, we investigate to what extent the conclusion of the Lebesgue dominated convergence theorem holds if the assumption of dominance is dropped. Speci cally, we study both topological and algebraic genericity ...
Artículo
Large linear manifolds of non-continuable boundary-regular holomorphic functions
(Elsevier, 2008-05-01)
We prove in this paper that if G is a domain in the complex plane satisfying adequate topological or geometrical conditions then there exists a large (dense or closed infinite-dimensional) linear submanifold of boundary-regular ...
Artículo
Cyclicity of coefficient multipliers: Linear structure
(Springer, 2007-03)
In this paper we characterize various kinds of cyclicity of sequences of coefficient multipliers, which are operators defined on spaces of holomorphic functions. In the case of a single coefficient multiplier we characterize ...
Artículo
Maximal cluster sets of L-analytic functions along arbitrary curves
(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 members belong to a certain class of operators defined on the space of L-analytic functions on Ω. ...
Artículo
Universal matrix transforms of holomorphic functions
(University of Houston, 2006)
The phenomenon of overconvergence is related with the convergence of subsequences of the sequence of partial sums of Taylor series at points outside their disk of convergence. During the seventies Chui and Parnes and the ...
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 ...