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Mostrando ítems 1-10 de 85
Artículo
Families of strongly annular functions: linear structure
(Springer, 2013-01)
A function f holomorphic in the unit disk D is called strongly annular if there exists a sequence of concentric circles in D expanding out to the unit circle such that f goes to infinity as |z| goes to 1 through these ...
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 subspaces in Fréchet spaces
(American Mathematical Society, 2006-07)
In this note, we show that every infinite-dimensional separable Fr´echet space admitting a continuous norm supports an operator for which there is an infinite-dimensional closed subspace consisting, except for zero, of ...
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
Exponente de convergencia generalizado de una sucesión compleja
(Universitat de Barcelona, 1987)
Our aim in this paper is to give several new expressions for the kth-convergence exponent of a complex sequence, and an extension of this concept to a certain class of real functions.
Artículo
Linear structure of the weighted holomorphic non-extendibility
(Cambridge University Press, 2006-06)
In this paper, it is proved that, for any domain G of the complex plane, there exist an infinite-dimensional closed linear submanifold M1 and a dense linear submanifold M2 with maximal algebraic dimension in the space ...
Tesis Doctoral
Universalidad: U-operadores y sucesiones de operadores diferenciales
(2003)
A continuación se estudia la superciclicidad y se introduce la propiedad de la c-hiperciclicidad y c-hiperciclicidad por autovalores que se aprovechan para exhibir condiciones suficientes de superciclicidad y c-hiperciclidad ...