Konigs eigenfunction for composition operators on Bloch and H∞ type spaces

被引：2

作者：

Eklund, Ted ^{[1
]}

Galindo, Pablo ^{[2
]}

Lindstrom, Mikael ^{[1
]}

机构：

[1] Abo Akad Univ, Dept Math, FI-20500 Turku, Finland

[2] Univ Valencia, Dept Anal Matemat, Valencia, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 445卷 / 02期

关键词：

Composition operator; Konigs eigenfunction; WEIGHTED BANACH-SPACES; SPECTRA; NORM; GROWTH;

D O I：

10.1016/j.jmaa.2016.04.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss when the Konigs eigenfunction associated with a non-automorphic selfmap of the complex unit disc that fixes the origin belongs to Banach spaces of holomorphic functions of Bloch and H-infinity type. In the latter case, our characterization answers a question of P. Bourdon. Some spectral properties of composition operators on H-infinity for unbounded Konigs eigenfunction are obtained. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：1300 / 1309

页数：10

共 21 条

[1] ABRAMOVICH Y. A., 2002, INVITATION OPERATOR
[2] Spectra of weighted composition operators on weighted Banach spaces of analytic functions
Aron, R
Lindström, M
[J]. ISRAEL JOURNAL OF MATHEMATICS, 2004, 141 (1) : 263 - 276
[3] Bonet J, 2001, ANN ACAD SCI FENN-M, V26, P233
[4] Spectra and essential spectral radii of composition operators on weighted Banach spaces of analytic functions
Bonet, Jose
Galindo, Pablo
Lindstrom, Mikael
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 340 (02) : 884 - 891
[5] Bourdon P., 1996, CONT MATH, V213, P1
[6] Essential angular derivatives and maximum growth of Koenigs eigenfunctions
Bourdon, PS
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1998, 160 (02) : 561 - 580
[7] Cowen C., 1995, Composition operators on spaces of analytic functions
[8] Spectra of composition operators on algebras of analytic functions on Banach spaces
Galindo, P.
Gamelin, T. W.
Lindstrom, Mikael
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2009, 139 : 107 - 121
[9] FREDHOLM COMPOSITION OPERATORS ON SPACES OF HOLOMORPHIC-FUNCTIONS
HATORI, O
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 1994, 18 (02) : 202 - 210
[10] Eigenvalues of Weighted Composition Operators on the Bloch Space
Hosokawa, Takuya
Nguyen, Quang Dieu
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2010, 66 (04) : 553 - 564

← 1 2 3 →