Spectral properties of weighted composition operators on the Bloch and Dirichlet spaces

• Autorzy: Ted Eklund , Mikael Lindström , Paweł Mleczko
• Języki publikacji: EN

Abstrakty

EN

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

Kategorie tematyczne

• 47B38: Operators on function spaces (general)
• 47B33: Composition operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2016
• Tom: 232
• Numer: 2
• Strony: 95-112

Daty

wydano

2016

Twórcy

autor

Ted Eklund

• Department of Mathematics, Åbo Akademi University, FI-20500 Åbo, Finland

autor

Mikael Lindström

• Department of Mathematics, Åbo Akademi University, FI-20500 Åbo, Finland

autor

Paweł Mleczko

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland

Identyfikatory

DOI

10.4064/sm8310-3-2016