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

共 50 条

[1] Spectra of composition operators on weighted Bergman spaces
Matthew A. Pons
Acta Scientiarum Mathematicarum, 2019, 85 : 539 - 560
[2] Weighted composition operators between weighted Bergman spaces
Wolf, Elke
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2009, 103 (01) : 11 - 15
[3] Differences of Composition Operators from Weighted Bergman Spaces to Bloch Spaces
Zhu, Xiangling
Yang, Weifeng
FILOMAT, 2014, 28 (09) : 1935 - 1941
[4] Eigenvalues and Spectra of Composition Operators Acting on Weighted Bergman Spaces of Infinite Order on the Unit Polydisk
Wolf, Elke
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2010, 7 (04) : 565 - 572
[5] Composition operators on weighted Bergman spaces induced by doubling weights
Guo, Xin
Wang, Maofa
SCIENCE CHINA-MATHEMATICS, 2024, 67 (07) : 1571 - 1598
[6] Compact differences of weighted composition operators on the weighted Bergman spaces
Wang, Maocai
Yao, Xingxing
Chen, Fen
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
[7] GENERALIZED WEIGHTED COMPOSITION OPERATORS ON WEIGHTED BERGMAN SPACES
Zhu, Xiangling
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2009, 30 (7-8) : 881 - 893
[8] Composition Operators on Weighted Bergman Spaces of Polydisk
Zahra Saeidikia
Ali Abkar
Bulletin of the Iranian Mathematical Society, 2023, 49
[9] Composition Operators on Weighted Bergman Spaces of Polydisk
Saeidikia, Zahra
Abkar, Ali
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2023, 49 (03)
[10] Differences of composition operators on weighted Bergman spaces
Lo, Ching-on
Loh, Anthony Wai-keung
RICERCHE DI MATEMATICA, 2023, 72 (02) : 815 - 833

← 1 2 3 4 5 →