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Artículo
Algebraic structure of continuous, unbounded and integrable functions
(Elsevier, 2019-02)
In this paper we study the large linear and algebraic size of the family of unbounded continuous and integrable functions in [0, +∞) and of the family of sequences of these functions converging to zero uniformly on ...
Artículo
The set of space-filling curves: topological and algebraic structure
(Elsevier, 2015-02-15)
In this paper, a study of topological and algebraic properties of two families of functions from the unit interval I into the plane R2 is performed. The first family is the collection of all Peano curves, that is, of those ...
Artículo
Cyclicity of coefficient multipliers: Linear structure
(Springer, 2007-03)
In this paper we characterize various kinds of cyclicity of sequences of coefficient multipliers, which are operators defined on spaces of holomorphic functions. In the case of a single coefficient multiplier we characterize ...
Artículo
Universal matrix transforms of holomorphic functions
(University of Houston, 2006)
The phenomenon of overconvergence is related with the convergence of subsequences of the sequence of partial sums of Taylor series at points outside their disk of convergence. During the seventies Chui and Parnes and the ...
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
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
Large algebras of singular functions vanishing on prescribed sets
(Springer, 2016-06-21)
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 terms of Z. In this case, large algebraic ...
Artículo
Universal functions with small derivatives and extremely fast growth
(De Gruyter, 2002-03)
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 ...