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Tesis Doctoral
Estudio asintótico de polinomios matriciales ortogonales
(2003-05-07)
La memoria de esta tesis doctoral presenta una serie de investigaciones realizadas sobre la teoría de la ortogonalidad matricial relativas al comportamiento asintótico de los polinomios matriciales ortogonales. El ...
Ponencia
Artículo
A spectral radius type formula for approximation numbers of composition operators
(Elsevier, 2014-12-15)
For approximation numbers an(Cφ) of composition operators Cφ on weighted analytic Hilbert spaces, including the Hardy, Bergman and Dirichlet cases, with symbol φ of uniform norm <1, we prove that limn→∞[an(Cφ)]1/n=e−1 ...
Ponencia
Artículo
Matrices de Hadamard
(Sociedad Española de Matemática Aplicada, 2003)
Se definen las matrices de Hadamard y se indican algunos problemas referentes a su existencia, construcción y unicidad. Se mostrarán algunos ejemplos de aplicaciones de las matrices de Hadamard para resolver problemas ...
Artículo
Surface tension stabilization of the Rayleigh-Taylor instability for a fluid layer in a porous medium
(ScienceDirect, 2020-12-02)
This paper studies the dynamics of an incompressible fluid driven by gravity and capillarity forces in a porous medium. The main interest is the stabilization of the fluid in Rayleigh-Taylor unstable situations where the ...
Artículo
Sharp weighted estimates for approximating dyadic operators
(American Mathematical Society, 2010)
We give a new proof of the sharp weighted L2 inequality ||T||_{L^2(w)} \leq c [w]_{A_2} where T is the Hilbert transform, a Riesz transform, the Beurling-Ahlfors operator or any operator that can be approximated by Haar ...
Tesis Doctoral
Ponencia
Functionals of harmonics functions
(Multidisciplinary Digital Publishing Institute, 2018-01)
Let CsT, with T > 0, be the set of continuous, T-periodic functions f : R → Rs, and let Γ : CsT → R be a real functional on CsT.
Capítulo de Libro
Refined size estimates for Furstenberg sets via Hausdorff measures: a survey of some recent results
(Springer, 2014)
In this survey we collect and discuss some recent results on the so called “Furstenberg set problem”, which in its classical form concerns the estimates of the Hausdorff dimension (dimH) of the sets in the Fα-class: for ...