Spectra of composition operators on weighted Bergman spaces

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作者
Matthew A. Pons
机构
[1] North Central College,Department of Mathematics
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47B33.; composition operator; spectrum; essential spectral radius; weighted Bergman space; Bloch space;
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摘要
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.
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页码:539 / 560
页数:21
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