Spectra of composition operators on weighted Bergman spaces

被引：1

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

页码：539 / 560

页数：22

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