Spectra of composition operators on weighted Bergman spaces

被引：0
|
作者：
Pons, Matthew A. [1 ]
机构：
[1] North Cent Coll, Dept Math, Naperville, IL 60540 USA
来源：
ACTA SCIENTIARUM MATHEMATICARUM | 2019年 / 85卷 / 3-5期
关键词：
composition operator; spectrum; essential spectral radius; weighted Bergman space; Bloch space; ESSENTIAL NORM; BANACH-SPACES; HARDY;
D O I：
10.14232/actasm-018-072-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
引用
收藏
页码：539 / 560
页数：22
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