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Mostrando ítems 31-40 de 42
Artículo
Two hyperbolic Schwarz lemmas
(Cambridge University Press, 2002-08)
In this paper, a sharp version of the Schwarz–Pick Lemma for hyperbolic derivatives is provided for holomorphic selfmappings on the unit disk with fixed multiplicity for the zero at the origin, hence extending a recent ...
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
Universal Taylor series with maximal cluster sets
(Consejo Superior de Investigaciones Científicas, 2009-06)
We link the overconvergence properties of certain Taylor series in the unit disk to the maximality of their cluster sets, so connecting outer wild behavior to inner wild behavior. Specifically, it is proved the existence ...
Artículo
On universality of composition operators in several variables
(University of Houston, 2001)
In this paper we characterize the universality of a sequence of composition operators generated by automorphisms of the N-dimensional unit polydisc DN, on Hardy spaces of DN . In addition, we provide suitable conditions ...
Tesis Doctoral
Artículo
Holomorphic T-monsters and strongly omnipresent operators
(Elsevier, 2000-06)
Assume that G is a nonempty open subset of the complex plane and that T is an operator on the linear space of holomorphic functions in G, endowed with the compact-open topology. In this paper we introduce the notions of ...
Artículo
Dense-lineability of sets of Birkhoff-universal functions with rapid decay
(Elsevier, 2010-03-01)
Let A be an unbounded Arakelian set in the complex plane whose complement has infinite inscribed radius, and ψ be an increasing positive function on the positive real numbers. We prove the existence of a dense linear ...
Artículo
Holomorphic operators generating dense images
(Springer, 2008-01)
The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane such that T f has dense images on certain subsets of G, where T is a continuous linear operator, is ...
Artículo
Simultaneously maximal radial cluster sets
(Elsevier, 2005-07)
In this paper, we show that for a wide class of operators T –including infi- nite order differential operators, and multiplication and composition operators– acting on the space H(D) of holomorphic functions in the unit ...
Artículo
A dynamical characterization of sub-Arakelian subsets
(Elsevier, 2013-09-15)
We are going to characterize those sets which can be covered by an Arakelian set in terms of dynamical properties of entire functions via similarities. Moreover, if we consider the set of universal entire functions via ...