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Tesis Doctoral
Rango y propiedades de medidas vectoriales. Conjuntos p-Sidon p.s.
(1991)
La presente memoria trata dos campos diferentes del Análisis Matemático. La primera parte se inscribe en el marco del estudio de las Medidas Vectoriales. La segunda trata sobre algunos problemas de Análisis Armónico, en ...
Tesis Doctoral
Ponencia
Artículo
Average radial integrability spaces of analytic functions
(Academic Press Inc., 2022)
In this paper we introduce the family of spaces RM(p, q), 1 ≤ p, q ≤ +∞. They are spaces of holomorphic functions in the unit disc with average radial integrability. This family contains the classical Hardy spaces (when ...
Artículo
Composition operators on Hardy-Orlicz spaces
(American Mathematical Society, 2010)
We investigate composition operators on Hardy-Orlicz spaces when the Orlicz function Ψ grows rapidly: compactness, weak compactness, to be p-summing, order bounded,..., and show how these notions behave according to the ...
Artículo
On some random thin sets of integers
(American Mathematical Society, 2008-01)
We show how different random thin sets of integers may have different behaviour. First, using a recent deviation inequality of Boucheron, Lugosi and Massart, we give a simpler proof of one of our results in Some new thin ...
Artículo
Invariant means and thin sets in harmonic analysis with applications to prime numbers
(Wiley, 2009-08)
We first prove a localization principle characterising Lust-Piquard sets. We obtain that the union of two Lust-Piquard sets is a Lust-Piquard set, provided that one of these two sets is closed for the Bohr topology. We ...
Artículo
Some translation-invariant Banach function spaces which contain C0
(Polish Academy of Sciences, Institute of Mathematics, 2004)
We produce several situations where some natural subspaces of classical Banach spaces of functions over a compact abelian group contain the space c0.
Artículo
Some new thin sets of integers in harmonic analysis
(Springer, 2002-12)
We randomly construct various subsets A of the integers which have both smallness and largeness properties. They are small since they are very close, in various senses, to Sidon sets: the continuous functions with spectrum ...
Artículo
On approximation numbers of composition operators
(Elsevier, 2012-04)
We show that the approximation numbers of a compact composition operator on the weighted Bergman spaces Bα of the unit disk can tend to 0 arbitrarily slowly, but that they never tend quickly to 0: they grow at ...