Abstract. We extend known results on the spectra of composition operators to the weighted Bergman spaces. Our results include a study of the essential spectral radius, a determination of the spectrum when the symbol of the composition operator is univalent and non-automorphic with a fixed point in the disk, and an affirmative answer to a conjecture of MacCluer and Saxe.
AMS Subject Classification
essential spectral radius,
weighted Bergman space,
Received August 6, 2018 and in final form January 20, 2019. (Registered under 72/2018.)