Buscar
Mostrando ítems 1-7 de 7
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
Compositional frequent hypercyclicity on weighted Dirichlet spaces
(The Belgian Mathematical Society, 2010-02)
It is proved that, in most cases, a scalar multiple of a linear-fractional generated composition operator λCϕ acting on a weighted Dirichlet space Sν of holomorphic functions in the open unit disk is frequently hypercyclic ...
Artículo
Order of growth of distributional irregular entire functions for the differentiation operator
(Taylor & Francis, 2016)
We study the rate of growth of entire functions that are distributionally irregular for the differentiation operator D. More specifically, given p ∈ [1,∞] and b ∈ (0, a), where a = 1 / 2 max{2, p}, we prove that there ...
Artículo
On the growth of zero-free MacLane-universal entire functions
(Elsevier, 2012-09)
We show that exponential growth is the critical discrete rate of growth for zero-free entire functions which are universal in the sense of MacLane. Specifically, it is proved that if the lower exponential growth order of ...
Artículo
Rate of growth of hypercyclic and frequently hypercyclic functions for the Dunkl operator
(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 for the integral means Mp(f, r) of their hypercyclic functions f is obtained. The rate of growth of ...
Artículo
Boundary-nonregular functions in the disc algebra and in holomorphic Lipschitz spaces
(Springer, 2018-06)
We prove in this paper the existence of dense linear subspaces in the classical holomorphic Lipschitz spaces in the disc all of whose non-null functions are nowhere differentiable at the boundary. Infinitely generated free ...
Artículo
Nowhere hölderian functions and Pringsheim singular functions in the disc algebra
(Springer, 2019-04)
We prove the existence of dense linear subspaces, of infinitely generated subalgebras and of infinite dimensional Banach spaces in the disc algebra all of whose nonzero members are not α-h¨olderian at any point of the ...