COMPACT DIFFERENCES OF COMPOSITION OPERATORS ON HOLOMORPHIC FUNCTION SPACES IN THE UNIT BALL

COMPACT DIFFERENCES OF COMPOSITION OPERATORS ON HOLOMORPHIC FUNCTION SPACES IN THE UNIT BALL

We find a lower bound for the essential norm of the difference of two composition operators acting on H 2（BN ） or As2 （BN ） （s 1）. This result plays an important role in proving a necessary and sufficient condition for the difference of linear fractional composition operators to be compact, which an...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Acta mathematica scientia 2011-09, Vol.31 (5), p.1679-1693
1. Verfasser: 江良英 欧阳才衡
Format: Artikel
Sprache:eng
Schlagworte:
32A35
32A36
47B33
Bergman spaces
compact differences
composition operators
Function space
Hardy space
Lower bounds
Mathematical analysis
Norms
Operators
充分必要条件
全纯函数空间
单位球
复合算子
紧凑型
线性分式
运营商
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We find a lower bound for the essential norm of the difference of two composition operators acting on H 2（BN ） or As2 （BN ） （s 1）. This result plays an important role in proving a necessary and sufficient condition for the difference of linear fractional composition operators to be compact, which answers a question posed by MacCluer and Weir in 2005.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(11)60353-6