We provide the spectral picture of groups of weighted composition operators, induced by the
hyperbolic group of automorphisms of the unit disc, acting on holomorphic functions. Some …

Abstract Let D⊂ C n be a bounded domain. A pair of distinct boundary points {p, q} of D has
the visibility property provided there exist a compact subset K p, q⊂ D and open …

In this survey we report about recent work on weighted Banach spaces of analytic functions
on the unit disc and on the whole complex plane defined with sup-norms and operators …

In this paper we study when the Kobayashi distance on a Kobayashi hyperbolic domain has
certain visibility properties, with a focus on unbounded domains.“Visibility” in this context is …

We study composition operators of characteristic zero on weighted Hilbert spaces of
Dirichlet series. For this purpose, we demonstrate the existence of weighted mean counting …

We introduce the notion of locally visible and locally Gromov hyperbolic domains in
$\mathbb {C}^ d $. We prove that a bounded domain in $\mathbb {C}^ d $ is locally visible …

The aim of this lecture notes is to present, in a unified and reasonably selfcontained way,
certain aspects of functional analysis which are needed to treat function spaces whose …

A closed subspace is invariant under the Cesàro operator C on the classical Hardy space H
2 (D) if and only if its orthogonal complement is invariant under the C 0-semigroup of …

In this paper, we present a unified approach to the study of geometric and dynamic
properties of nonlinear resolvents of holomorphic generators. The idea is to apply the …

We study parabolic semigroups of finite shift in the unit disk with regard to their geometric
properties and the rate of convergence of their orbits to the Denjoy–Wolff point. We examine …