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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.
DOI: 10.14232/actasm-018-072-7
AMS Subject Classification
(1991): 47B33
Keyword(s):
composition operator,
spectrum,
essential spectral radius,
weighted Bergman space,
Bloch space
Received August 6, 2018 and in final form January 20, 2019. (Registered under 72/2018.)
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