Pons, Matthew A. Spectra of composition operators on weighted Bergman spaces. (English) Zbl 1449.47055 Acta Sci. Math. 85, No. 3-4, 539-560 (2019). Summary: 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 B. MacCluer and K. Saxe [Isr. J. Math. 128, 325–354 (2002; Zbl 1024.47009)]. MSC: 47B33 Linear composition operators 30H20 Bergman spaces and Fock spaces 30H30 Bloch spaces Keywords:composition operator; spectrum; essential spectral radius; weighted Bergman space; Bloch space Citations:Zbl 1024.47009 PDFBibTeX XMLCite \textit{M. A. Pons}, Acta Sci. Math. 85, No. 3--4, 539--560 (2019; Zbl 1449.47055) Full Text: DOI