Now showing items 1-10 of 26
Simultaneous universality [Article]
In this paper, the notion of simultaneous universality is introduced, concerning operators having orbits that simultaneously approximate any given vector. This notion is related to the well known concepts of universality ...
Perron-Frobenius operators and the Klein-Gordon equation [Article]
(European Mathematical Society, 2014)
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 on Γ, absolutely continuous with respect to the arc length and whose Fourier transform vanishes ...
Some new properties of composition operators associated with lens maps [Article]
We give examples of results on composition operators connected with lens maps. The first two concern the approximation numbers of those operators acting on the usual Hardy space H2. The last ones are connected with ...
Nevanlinna counting function and Carleson function of analytic maps [Article]
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.
Simultaneously maximal radial cluster sets [Article]
In this paper, we show that for a wide class of operators T –including infi- nite order differential operators, and multiplication and composition operators– acting on the space H(D) of holomorphic functions in the unit ...
Boundary-chaotic behaviour of continuous functions under the action of operators [Article]
(Cambridge University Press, 2003-06)
In this paper we introduce two classes of operators on spaces of continuous functions with values in F-spaces under the action of which many functions behave chaotically near the boundary. Several examples, including ...
(Cambridge University Press, 2005-02)
Inspired by a statement of W. Luh asserting the existence of entire functions having together with all their derivatives and antiderivatives some kind of additive universality or multiplicative universality on certain ...
Operators with dense images everywhere [Article]
In this paper, the authors introduce the dense-image operators T as those with a wild behaviour near of the boundary of a domain G, via certain subsets. The relationship with other kinds of operators with wild behaviour ...
Fourier uniqueness sets and the Klein-Gordon equation [Presentation]
Building on ideas from H. Hedenmalm, H., Montes-Rodríguez, A., Heisenberg uniquenes pairs and the Klein-Gordon equation. Ann. of Math. 173 (2011), 1507-1527, we introduce (local) Fourier uniqueness sets for spaces of ...
Compact composition operators on Hardy-Orlicz and Bergman-Orlicz spaces [Article]
We construct an analytic self-map ϕ of the unit disk and an Orlicz function Ψ for which the composition operator of symbol ϕ is compact on the Hardy-Orlicz space HΨ, but not on the Bergman-Orlicz space BΨ. For that, we first ...