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Artículo
Subspaces of frequently hypercyclic functions for sequences of composition operators.
(Springer, 2019-02)
In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a complex domain to be frequently hypercyclic is provided. Such a criterion improves some already known ...
Artículo
Iterative algorithms for nonexpansive mappings on Hadamard manifolds
(The Mathematical Society of the Republic of China, 2010-04)
Two iterative algorithms for nonexpansive mappings on Hadamard manifolds, which are extensions of the well-known Halpern's and Mann's algorithms in Euclidean spaces, are proposed and proved to be convergent to a fixed ...
Artículo
Quantitative results on Fejér monotone sequences
(World Scientific, 2017)
We provide in a unified way quantitative forms of strong convergence results for numerous iterative procedures which satisfy a general type of Fej´er monotonicity where the convergence uses the compactness of the underlying ...
Artículo
Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models
(American Physical Society, 2014)
A method of averaging is applied to study the dynamics of a kink in the damped double sine-Gordon equation driven by both external (nonparametric) and parametric periodic forces at high frequencies. This theoretical approach ...
Artículo
Approximation numbers of weighted composition operators
(Elsevier, 2018)
We study the approximation numbers of weighted composition operators f 7→ w · (f ◦ ϕ) on the Hardy space H2 on the unit disc. For general classes of such operators, upper and lower bounds on their approximation numbers ...
Artículo
Lineability in sequence and function spaces
(Polish Academy of Sciences, Institute of Mathematics, 2017)
It is proved the existence of large algebraic structures –including large vector subspaces or infinitely generated free algebras– inside, among others, the family of Lebesgue measurable functions that are surjective in a ...
Tesis Doctoral
Global regularity for incompressible fluid interfaces.
(2018-06-11)
Esta memoria esta dedicada al estudio de tres problemas de frontera libre dadas por interfases entre fluidos incompresibles: parche de temperatura en Boussinesq, parche de densidad en Navier-Stokes y el problema de Muskat. ...
Artículo
Compact composition operators on the Dirichlet space and capacity of sets of contact points
(Elsevier, 2013-02-15)
We prove several results about composition operators on the Dirichlet space D⁎. For every compact set K⊆∂D of logarithmic capacity , there exists a Schur function φ both in the disk algebra A(D) and in D⁎ such that the ...
Artículo
Some revisited results about composition operators on Hardy spaces
(European Mathematical Society, 2012)
We generalize, on one hand, some results known for composition operators on Hardy spaces to the case of Hardy-Orlicz spaces HΨ: construction of a “slow” Blaschke product giving a non-compact composition operator on ...