For a smooth curve Γ and a set Λ in the plane R2, let AC(Γ; Λ) be the space of finite Borel measures in the plane supported ...

In this survey we collect and discuss some recent results on the so called “Furstenberg set problem”, which in its classical ...

Building on ideas from H. Hedenmalm, H., Montes-Rodríguez, A., Heisenberg uniquenes pairs and the Klein-Gordon equation. Ann. ...

A Heisenberg uniqueness pair (HUP) is a pair (Γ, Λ), where Γ is a curve in the plane and Λ is a set in the plane, with the ...

It is shown that the lattice of invariant subspaces of the operator of multiplication by a cyclic element of a Banach ...

An analogue of the Paley–Wiener theorem is developed for weighted Bergman spaces of analytic functions in the upper ...

In these lectures I shall give an account of some recent results and open problems relating to subspaces of square integrable ...

We give a short and selective account of results known about operators of the form Vg(f)(z) = 1/z Z z 0 f(ζ)g0 (ζ) dζ, where g is analytic on the disc and the operator Tg = zVg acts on spaces of analytic functions.

A subspace X of the Hardy space H1 is said to have the K-property if for any ψ ∈ H∞, the Toeplitz operator Tψ maps X into ...

A plausible conjecture is that Banach algebras with trivial cohomology have to be semisimple and finite dimensional. In ...

Hankel operators and their symbols, as generalized by V. Pták and P. Vrbová, are considered. In this more general framework, ...

We characterize all linear fractional maps of the disk into itself in terms of their coefficients. We also prove the formula ...

Let p ∈ [1, +∞] such that its conjugate exponent q is not an even integer and let T be an operator defined on Lp(λ) with ...

The uniformization theorem asserts that a simply-connected non-compact Riemann surface S is conformally equivalent to ...

A descriptive characterization of point, continuous, and residual spectra of operators acting on a separable Hilbert space is obtained. The possible point spectra of bounded linear operators acting on lp, 1 < p < ∞ are characterized.

We review the Chang-Marshall inequality of Moser-Trudinger type for the Dirichlet space. We then use a weaker version of ...

In this paper we use an α-Carleson measure and a vanishing Carleson measure to characterize bounded and compact composition operators on weighted Bergman-Nevanlinna spaces.

We express the essential norm of a composition operator on the Bloch space and the little Bloch space as the asymptotic ...

A classical theorem of Birkhoff asserts that there exists an entire function f such that the sequence of function {/(z + ...

"Esta memoria está dividida en cuatro capítulos. En el Capítulo cero de preliminares introducimos la notación y recordamos ...