Spectra of linear fractional composition operators on the Hardy and weighted Bergman spaces of the half-plane

Abstract

We compute the spectra and the essential spectra of bounded linear fractional composition operators acting on the Hardy and weighted Bergman spaces of the upper half-plane. We are also able to extend the results to weighted Dirichlet spaces of the upper half-plane.

14 pages

Cited by in corpus (3)

• Dynamical properties for composition operators on $H^2({\mathbb{C}}_{+})$
• Complex symmetry of composition operators on weighted Bergman spaces
• Dynamics for affine composition operators on weighted Bergman space of a half plane