room: A1-33, godz. 10:00–11:00

Ted Eklund (Åbo Akademi)
Spectral properties of weighted composition operators on the Bloch and Dirichlet spaces

Summary. The spectra of invertible weighted composition operators \(uC_\varphi\) on the Bloch and Dirichlet spaces are studied. In the Bloch case we obtain a complete description of the spectrum when \(\varphi\) is a parabolic or elliptic automorphism of the unit disc. In the case of a hyperbolic automorphism \(\varphi\), exact expressions for the spectral radii of invertible weighted composition operators acting on the Bloch and Dirichlet spaces are derived.

Tea and coffee at 9:30.