We consider continuous semigroups of analytic functions {Φt}t≥0 in the so-called Gordon-Hedenmalm class G, that is, the ...

A lo largo de este texto, nuestro objetivo será presentar y demostrar la condición suficiente y necesaria, dada por Carleson, ...

In this paper we introduce the family of spaces RM(p, q), 1 ≤ p, q ≤ +∞. They are spaces of holomorphic functions in the ...

A complex scalar λ is said to be an extended eigenvalue of a bounded linear operator A on a complex Hilbert space if there ...

A complex scalar λ is said to be an extended eigenvalue of a bounded linear operator A on a complex Hilbert space if there ...

In this thesis, we introduce the family of spaces of holomorphic functions in the unit disc with average radial integrability ...

We study when multiplication by a weight can turn a non-compact composition operator on H2 into a compact operator, and ...

We compare the rate of decay of singular numbers of a given composition operator acting on various Hilbert spaces of ...

In this paper we characterize the boundedness, compactness, and weak compactness of the integration operators Tg(f)(z) = ...

We give a survey on approximation numbers of composition operators on the Hardy space, on thedisk and on the polydisk, and add corresponding new results on their entropy numbers, revealing how theyare different.

A lo largo de este trabajo, nuestro objetivo será estudiar el tamaño de los coeficientes de Fourier en diferentes espacios ...

The Invariant Subspace Problem is one of the most studied problems on Operator Theory in the last decades. In fact, it is ...

A famous inequality by von Neumann states that if T is a contraction on a Hilbert space and p is a polynomial, then kp(T)k ...

The main goal of this work is to characterize the membership of composition operators on the Hardy space H2 of the unit ...

We study the approximation numbers of weighted composition operators f 7→ w · (f ◦ ϕ) on the Hardy space H2 on the unit ...

We study the composition operators of the Hardy space on D∞ ∩ℓ1, the ℓ1 part of the infinite polydisk, and the behavior of their approximation numbers.

The main problem we consider in this work is the study of semigroups of composition operators on spaces of analytic functions ...

This paper considers the three dimensional Muskat problem in the stable regime. We obtain a conservation law which provides ...

The main problem we consider in this work is the characterization of removable sets. A compact set E in the complex plane ...

We show that the decay of approximation numbers of compact composition operators on the Dirichlet space D can be as slow ...

We study the decay of approximation numbers of compact composition operators on the Dirichlet space. We give upper and ...

We give estimates for the approximation numbers of composition operators on the Hp spaces, 1 ≤ p < ∞.

For approximation numbers an(Cφ) of composition operators Cφ on weighted analytic Hilbert spaces, including the Hardy, ...

Let µ be a finite positive Borel measure with compact support K ⊆ C, and regard L∞(µ) as an algebra of multiplication ...

We prove that, for every α>−1, the pull-back measure φ(Aα) of the measure dAα(z)=(α+1)(1−|z|2)αdA(z), where A is the ...

We give examples of results on composition operators connected with lens maps. The first two concern the approximation ...

We prove several results about composition operators on the Dirichlet space D⁎. For every compact set K⊆∂D of logarithmic ...

We show that the approximation numbers of a compact composition operator on the weighted Bergman spaces Bα of the unit ...

We generalize, on one hand, some results known for composition operators on Hardy spaces to the case of Hardy-Orlicz spaces ...

We show that the maximal Nevanlinna counting function and the Carleson function of analytic self-maps of the unit disk are equivalent, up to constants.

We construct an analytic self-map ϕ of the unit disk and an Orlicz function Ψ for which the composition operator of symbol ...

We investigate the behavior of some thin sets of integers defined through random trigonometric polynomial when one replaces ...

We study the canonical injection from the Hardy-Orlicz space HΨ into the Bergman–Orlicz space BΨ..

We investigate composition operators on Hardy-Orlicz spaces when the Orlicz function Ψ grows rapidly: compactness, weak ...

We first prove a localization principle characterising Lust-Piquard sets. We obtain that the union of two Lust-Piquard ...

We construct, in an essentially explicit way, various composition operators on H2 and study their compactness or their ...

We give a criterion of weak compactness for the operators on the Morse-Transue space MΨ , the subspace of the Orlicz space LΨ generated by L∞.

We show how different random thin sets of integers may have different behaviour. First, using a recent deviation inequality ...

We give new proofs that some Banach spaces have Peczynski's property (V)

We show that for 1 ≤ p < ∞, the property that every Lp-valued vector measure has finite X-semivariation in Lp(μ, X) is ...

An algebra of bounded linear operators on a Hilbert space is said to be strongly compact if its unit ball is relatively ...

We produce several situations where some natural subspaces of classical Banach spaces of functions over a compact abelian group contain the space c0.

We randomly construct various subsets A of the integers which have both smallness and largeness properties. They are small ...

La presente memoria trata dos campos diferentes del Análisis Matemático. La primera parte se inscribe en el marco del ...