Buscar
Mostrando ítems 1-7 de 7
Artículo
Linear Kierst-Szpilrajn theorems
(Polish Academy of Sciences, Institute of Mathematics, 2005)
We prove in this paper the following result which extends in a somewhat ‘linear’ sense a theorem by Kierst and Szpilrajn and which holds on many ‘natural’ spaces of holomorphic functions in the open unit disk D: There ...
Artículo
Holomorphic functions having large images under the action of differential operators
(Elsevier, 1999-02-15)
We prove in this note that, given a simply connected domain G in the complex plane and a sequence of infinite order linear differential operators generated by entire functions of subexponential type satisfying suitable ...
Artículo
Operators with dense images everywhere
(Elsevier, 2001-11-01)
In this paper, the authors introduce the dense-image operators T as those with a wild behaviour near of the boundary of a domain G, via certain subsets. The relationship with other kinds of operators with wild behaviour ...
Artículo
On universal entire functions with zero-free derivatives
(Springer, 1997-04)
We prove in this note a generalization of a theorem due to G. Herzog on zero-free universal entire functions. Specifically, it is shown that, if a nonnegative integer q and a nonconstant entire function Φ of subexponential ...
Artículo
Universal functions for taylor shifts
(Taylor & Francis, 1996)
In this paper a new sort of operators, the Taylor shifts, is introduced. They appear as a generalization of weighted backward shifts on the spaces of entire functions and of holomorphic functions in the unit disk. Necessary ...
Artículo
A Seidel-Walsh theorem with linear differential operators
(Springer, 1999-05)
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 operators with constant coefficients, both of them satisfying suitable conditions. We prove ...
Artículo
Strongly omnipresent operators: general conditions and applications to composition operators
(Cambridge University Press, 2002-06)
This paper studies the concept of strongly omnipresent operators that was recently introduced by the first two authors. An operator T on the space H(G) of holomorphic functions on a complex domain G is called strongly ...