6 papers
Simultaneous universality
Luis Bernal-González, Andreas Jung
In this paper, the notion of simultaneous universality is introduced, concerning operators having orbits that simultaneously approximate any given vector. This notion is related to…
Large algebras of singular functions vanishing on prescribed sets
Luis Bernal-González, María del Carmen Calderón-Moreno
In this paper, the non-vacuousness of the family of all nowhere analytic infinitely differentiable functions on the real line vanishing on a prescribed set Z is characterized in te…
Rate of growth of hypercyclic and frequently hypercyclic functions for the Dunkl operator
Luis Bernal-Gonzalez, Antonio Bonilla
For the Dunkl operator on the space of entire functions on the complex space C, the critical rate of growth for the integral means of their hypercyclic…
Order of growth of distributional irregular entire functions for the differentiation operator
Luis Bernal-Gonzalez, Antonio Bonilla
We study the rate of growth of entire functions that are distributionally irregular for the differentiation operator D. More specifically, given and $b \in (0,a…
Vector spaces on non-extendable holomorphic functions
Luis Bernal-González
In this paper, the linear structure of the family of holomorphic functions in a domain of the complex plane that are not analytically continuable beyond the boundary o…
Peano curves on topological vector spaces
N. Albuquerque, L. Bernal-Gonzalez, D. Pellegrino +1
The starting point of this paper is the existence of Peano curves, that is, continuous surjections mapping the unit interval onto the unit square. From this fact one can easily con…