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Mostrando ítems 11-20 de 33
Artículo
Compositional universality in the N-dimensional ball
(De Gruyter, 2007-05)
It is proved in this note that a sequence of automorphisms on the N-dimensional unit ball acts properly discontinuously if and only if its corresponding sequence of composition operators is universal on the Hardy space of ...
Artículo
Boundary-chaotic behaviour of continuous functions under the action of operators
(Cambridge University Press, 2003-06)
In this paper we introduce two classes of operators on spaces of continuous functions with values in F-spaces under the action of which many functions behave chaotically near the boundary. Several examples, including ...
Artículo
Monsters in Hardy and Bergman spaces
(Taylor & Francis, 2002)
A monster in the sense of Luh is a holomorphic function on a simply connected domain in the complex plane such that it and all its derivatives and antiderivatives exhibit an extremely wild behaviour near the boundary. In ...
Artículo
Structural aspects of the non-uniformly continuous functions and the unbounded functions within C(X)
(Elsevier, 2019-04-01)
We prove in this paper that if a metric space supports a real continuous function which is not uniformly continuous then, under appropriate mild assumptions, there exists in fact a plethora of such functions, in both ...
Artículo
Universal transforms of the geometric series under generalized Riesz methods
(Springer, 2004-03)
In this paper generalized Riesz methods (R, p, M) of summability are considered. We prove that, to each open set O ⊂ C with adequate topological properties and each sequence {Pn} ⊂ C tending to infinity, we can associate ...
Artículo
Maximal cluster sets along arbitrary curves
(Elsevier, 2004-08)
The existence of a dense linear manifold of holomorphic functions on a Jordan domain having except for zero maximal cluster set along any curve tending to the boundary with nontotal oscillation value set is shown.
Artículo
Infinite dimensional holomorphic non-extendability and algebraic genericity
(Elsevier, 2017-01-15)
In this note, the linear structure of the family He(G) of holomorphic functions in a domain G of a complex Banach space that are not holomorphically continuable beyond the boundary of G is analyzed. More particularly, we ...
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
Lacunary non-continuable boundary-regular holomorphic functions with universal properties
(National Academy of Sciences of the Republic of Armenia, 2006)
A holomorphic function in a Jordan domain G in the complex plane is constructed with all its derivatives extending continuously up to the boundary G that happens to be a natural boundary of In addition the action of a ...
Artículo
Compositional hypercyclicity equals supercyclicity
(University of Houston, 2007)
In this note it is proved that the sequence of composition operators generated by automorphisms of a simply connected domain strictly contained in the complex plane is hypercyclic –that is, possesses some dense orbit– ...