2016/02/18 by Ted Eklund, Eklund, Ted, Mikael Lindström +3
Mathematics · #47B38 #Algebraic and Geometric Analysis #Analytic and geometric function theory #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.1602.05805
openalex publication_date 2016/02/18 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
The spectra of invertible weighted composition operators uC_\φ on the\nBloch and Dirichlet spaces are studied. In the Bloch case we obtain a complete\ndescription of the spectrum when \φ is a parabolic or elliptic\nautomorphism of the unit disc. In the case of a hyperbolic automorphism\n\φ, exact expressions for the spectral radii of invertible weighted\ncomposition operators acting on the Bloch and Dirichlet spaces are derived.\n