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Ponencia
Matrix valued orthogonal polynomials satisfying differential equations
(2007)
The theory of matrix valued orthogonal polynomials goes back to the fundamental works of M. G. Krein. If one is considering possible applications of these polynomials, it is natural to concentrate on those cases where some ...
Capítulo de Libro
El principio de Calderón-Zygmund
(Universidad de La Rioja, 2001)
In this note we show some estimates for multilinear commutators with vector symbol b = (b1,...,bm) defined by the expression Tbf(x) = Z Rn2 4Ym j=1 (bj (x) − bj (y)) 3 5 K(x, y)f(y) dy, where K is the kernel of any ...
Artículo
A maximum principle for the Muskat problem for fluids with different densities
(Springer, 2009-03)
We consider the fluid interface problem given by two incompressible fluids with different densities evolving by Darcy’s law. This scenario is known as the Muskat problem for fluids with the same viscosities, being in two ...
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
Driven and damped double sine-Gordon equation: The influence of internal modes on the soliton ratchet mobility
(2009)
This work studies the damped double sine-Gordon equation driven by a biharmonic force, where a parameter λ controls the existence and the frequency of an internal mode. The role of internal oscillations of the kink width ...
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
On selections of the metric projection and best proximity pairs in hyperconvex spaces
(Maria Curie-Skłodowska University, 2005)
In this work we present new results on nonexpansive retractions and best proximity pairs in hyperconvex metric spaces. We sharpen the main results of R. Esp´ınola et al. in [3] (Nonexpansive retracts in hyperconvex spaces, ...
Tesis Doctoral
La teoría del punto fijo en espacios funcionales modulares
(2001-02-09)
La teoría del punto fijo ha sido extensamente desarrollada en los espacios de Banach y los espacios métricos, Los espacios funcionales modulares no están incluidos en los espacios anteriores aunque el modular comparte ...
Tesis Doctoral
Algunos teoremas métricos del punto fijo determinísticos y aleatorios
(2002)
"En el Capítulo 1 de la Memoria se recoge la información que consideramos necearia para la valoración y compresión de los distintos aspectos de la Teoría Métrica del Punto Fijo que en ella se discuten. En algunas secciones, ...
Artículo
On some oscillating sums
(2008)
This paper deals with the sums S α (n)=∑ j=1 n (-1) ⌊jα⌋ where α is any real number. The interest in these sums was initiated by a problem proposed by H. D. Ruderman [Problem 6105, Am. Math. Mon. 83, 573 (1977)] and solved ...