NameCalderón Moreno, María del Carmen
DepartmentAnálisis Matemático
Knowledge areaAnálisis Matemático
Professional categoryCatedrática de Universidad
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  • No. publications

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Real-Analytic Non-Integrable Functions on the Plane with Equal Iterated Integrals

Bernal González, Luis; Calderón Moreno, María del Carmen; Jung, Andreas (Springer, 2021-12-16)
In this note, a vector space of real-analytic functions on the plane is explicitly constructed such that all its nonzero ...
Master's Final Project
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Contraejemplos en Análisis : Lineabilidad

Calderón Moreno, María del Carmen; Prado Bassas, José Antonio; Condado Peñaranda, Juan (2021-01-01)
In 1966, Russian mathematician Vladimir Gurariy proved that the set of continuous functions on the interval [0, 1] that ...
PhD Thesis
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Linear and algebraic structures in function sequence spaces

Calderón Moreno, María del Carmen; Prado Bassas, José Antonio; Gerlach Mena, Pablo José (2020-06-18)
Historically, many mathematicians of all ages have been attracted and fascinated by the existence of large algebraic ...
Final Degree Project
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Familias y espacios de funciones holomorfas en regiones del plano

Calderón Moreno, María del Carmen; Bernal Torres, Luis Agustín (2020-06-01)
In this work we focus our attention on a collection of function spaces whose analysis is not deepened usually during the ...
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Lineability and modes of convergence

Calderón Moreno, María del Carmen; Gerlach Mena, Pablo José; Prado Bassas, José Antonio (Springer, 2020-01-01)
In this paper we look for the existence of large linear and algebraic structures of sequences of measurable functions with ...
Final Degree Project
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Modos de Convergencia

Calderón Moreno, María del Carmen; Prado Bassas, José Antonio; Pineda Santos, Daniel (2020-01-01)
El objetivo de este trabajo es mostrar al lector varios modos de convergencia de sucesiones de funciones, estos son: ...
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Structural aspects of the non-uniformly continuous functions and the unbounded functions within C(X)

Ayala Gómez, Rafael; Bernal González, Luis; Calderón Moreno, María del Carmen; Vilches Alarcón, José Antonio (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, ...
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Algebraic structure of continuous, unbounded and integrable functions

Calderón Moreno, María del Carmen; Gerlach Mena, Pablo José; Prado Bassas, José Antonio (Elsevier, 2019-02-01)
In this paper we study the large linear and algebraic size of the family of unbounded continuous and integrable functions ...
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Subspaces of frequently hypercyclic functions for sequences of composition operators.

Bernal González, Luis; Calderón Moreno, María del Carmen; Jung, Andreas; Prado Bassas, José Antonio (Springer, 2019-02-01)
In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a ...
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Hypercyclic algebras for D-multiples of convolution operators

Bernal González, Luis; Calderón Moreno, María del Carmen (American Mathematical Society, 2019-02-01)
It is shown in this short note the existence, for each nonzero member of the ideal of D-multiples of convolution operators acting on the space of entire functions, of a scalar multiple of it supporting a hypercyclic algebra.
Master's Final Project
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Lineabilidad y curvas de Peano

Calderón Moreno, María del Carmen; Prado Bassas, José Antonio; Jácome Maura, Francisco (2018-01-01)
Las curvas de Peano pueden generalizarse y entenderse: o bien como aplicaciones continuas y sobreyectivas entre dos espacios ...
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Infinite dimensional holomorphic non-extendability and algebraic genericity

Bernal González, Luis; Calderón Moreno, María del Carmen; Seoane Sepúlveda, Juan Benigno (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 ...
Final Degree Project
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Aproximación en variable compleja

Calderón Moreno, María del Carmen; Prado Bassas, José Antonio; Prado Rodríguez, Ana María (2016-09-01)
In the late Nineteenth Century, Weierstrass showed that any continuous real function in a compact can be uniformly ...
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Large algebras of singular functions vanishing on prescribed sets

Bernal González, Luis; Calderón Moreno, María del Carmen (Springer, 2016-06-21)
In this paper, the non-vacuousness of the family of all nowhere analytic infinitely differentiable functions on the real ...
Master's Final Project
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Lineabilidad en espacios de sucesiones

Calderón Moreno, María del Carmen; Prado Bassas, José Antonio; Gerlach Mena, Pablo José (2016-06-01)
Desde siempre, grandes matemáticos de todas las épocas se han sentido atraídos y fascinados por la existencia de grandes ...
Master's Final Project
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Funciones universales y propiedades de Acotación

Calderón Moreno, María del Carmen; Prado Bassas, José Antonio; Prado Rodríguez, Mercedes (2015-09-15)
El objetivo principal de este Trabajo Fin de Máster es realizar un estudio sobre los últimos resultados de existencia de ...
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The set of space-filling curves: topological and algebraic structure

Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (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 ...
Final Degree Project
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Monstruos de Weierstrass

Calderón Moreno, María del Carmen; Prado Bassas, José Antonio; Gerlach Mena, Pablo José (2015-01-01)
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A dynamical characterization of sub-Arakelian subsets

Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (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 ...
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Large subspaces of compositionally universal functions with maximal cluster sets

Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Elsevier, 2012-02-01)
Let (φn) be a sequence of holomorphic self-maps of a Jordan domain G in the complex plane. Under appropriate conditions ...
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Dense-lineability of sets of Birkhoff-universal functions with rapid decay

Bernal González, Luis; Calderón Moreno, María del Carmen; Luh, Wolfgang (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 ...
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Universal Taylor series with maximal cluster sets

Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Consejo Superior de Investigaciones Científicas, 2009-06-01)
We link the overconvergence properties of certain Taylor series in the unit disk to the maximality of their cluster sets, ...
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Large linear manifolds of non-continuable boundary-regular holomorphic functions

Bernal González, Luis; Calderón Moreno, María del Carmen; Luh, Wolfgang (Elsevier, 2008-05-01)
We prove in this paper that if G is a domain in the complex plane satisfying adequate topological or geometrical conditions ...
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Holomorphic operators generating dense images

Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Springer, 2008-01-01)
The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane ...
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Compositional universality in the N-dimensional ball

Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; Calderón Moreno, María del Carmen (De Gruyter, 2007-05-01)
It is proved in this note that a sequence of automorphisms on the N-dimensional unit ball acts properly discontinuously ...
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Maximal cluster sets of L-analytic functions along arbitrary curves

Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Springer, 2007-03-01)
Let Ω be a domain in the N-dimensional real space, L be an elliptic differential operator, and (Tn) be a sequence whose ...
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Cyclicity of coefficient multipliers: Linear structure

Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Springer, 2007-03-01)
In this paper we characterize various kinds of cyclicity of sequences of coefficient multipliers, which are operators ...
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Compositional hypercyclicity equals supercyclicity

Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; Calderón Moreno, María del Carmen (University of Houston, 2007-01-01)
In this note it is proved that the sequence of composition operators generated by automorphisms of a simply connected ...
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Universal matrix transforms of holomorphic functions

Bernal González, Luis; Calderón Moreno, María del Carmen; Luh, Wolfgang (University of Houston, 2006-01-01)
The phenomenon of overconvergence is related with the convergence of subsequences of the sequence of partial sums of Taylor ...
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Lacunary non-continuable boundary-regular holomorphic functions with universal properties

Bernal González, Luis; Calderón Moreno, María del Carmen; Luh, Wolfgang (National Academy of Sciences of the Republic of Armenia, 2006-01-01)
A holomorphic function in a Jordan domain G in the complex plane is constructed with all its derivatives extending ...
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Simultaneously maximal radial cluster sets

Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Elsevier, 2005-07-01)
In this paper, we show that for a wide class of operators T –including infi- nite order differential operators, and ...
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Universality on higher order Hardy spaces

Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; Calderón Moreno, María del Carmen (Cambridge University Press, 2005-02-01)
We prove a Seidel-Walsh-type theorem about universality of a sequence of derivation-composition operators generated by ...
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Maximal cluster sets along arbitrary curves

Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Elsevier, 2004-08-01)
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.
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Universal transforms of the geometric series under generalized Riesz methods

Bernal González, Luis; Calderón Moreno, María del Carmen; Luh, Wolfgang (Springer, 2004-03-01)
In this paper generalized Riesz methods (R, p, M) of summability are considered. We prove that, to each open set O ⊂ C ...
PhD Thesis
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Ciclicidad de coeficientes multiplicadores y subespacios de funciones universales

Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (2004-01-01)
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Boundary-chaotic behaviour of continuous functions under the action of operators

Bernal González, Luis; Calderón Moreno, María del Carmen (Cambridge University Press, 2003-06-01)
In this paper we introduce two classes of operators on spaces of continuous functions with values in F-spaces under the ...
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Strongly omnipresent integral operators

Bernal González, Luis; Calderón Moreno, María del Carmen; Grosse-Erdmann, Karl-Goswin (Springer, 2002-12-01)
An operator T on the space H(G) of holomorphic functions on a domain G is strongly omnipresent whenever there is a residual ...
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Dense linear manifolds of monsters

Bernal González, Luis; Calderón Moreno, María del Carmen (Elsevier, 2002-12-01)
In this paper the new concept of totally omnipresent operators is introduced. These operators act on the space of holomorphic ...
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Two hyperbolic Schwarz lemmas

Bernal González, Luis; Calderón Moreno, María del Carmen (Cambridge University Press, 2002-08-01)
In this paper, a sharp version of the Schwarz–Pick Lemma for hyperbolic derivatives is provided for holomorphic selfmappings ...
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Strongly omnipresent operators: general conditions and applications to composition operators

Bernal González, Luis; Calderón Moreno, María del Carmen; Grosse-Erdmann, Karl-Goswin (Cambridge University Press, 2002-06-01)
This paper studies the concept of strongly omnipresent operators that was recently introduced by the first two authors. ...
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Universal functions with small derivatives and extremely fast growth

Calderón Moreno, María del Carmen (De Gruyter, 2002-03-01)
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Monsters in Hardy and Bergman spaces

Bernal González, Luis; Calderón Moreno, María del Carmen (Taylor & Francis, 2002-01-01)
A monster in the sense of Luh is a holomorphic function on a simply connected domain in the complex plane such that it and ...
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Operators with dense images everywhere

Bernal González, Luis; Calderón Moreno, María del Carmen (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 ...
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On universality of composition operators in several variables

Bonilla Ramírez, Antonio Lorenzo; Calderón Moreno, María del Carmen (University of Houston, 2001-01-01)
In this paper we characterize the universality of a sequence of composition operators generated by automorphisms of the ...
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Holomorphic T-monsters and strongly omnipresent operators

Bernal González, Luis; Calderón Moreno, María del Carmen (Elsevier, 2000-06-01)
Assume that G is a nonempty open subset of the complex plane and that T is an operator on the linear space of holomorphic ...
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A Seidel-Walsh theorem with linear differential operators

Bernal González, Luis; Calderón Moreno, María del Carmen (Springer, 1999-05-01)
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 ...