Compact Differences of Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions

被引：16
|
作者：
Manhas, J. S. [1 ]
机构：
[1] Sultan Qaboos Univ, Coll Sci, Dept Math, Al Khoud, Oman
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2008年 / 62卷 / 03期
关键词：
Primary; 47B38; 47B37; 47B33; 47B07; Secondary; 46E15; 46E10; 30H05; Weighted composition operator; weighted Banach space of analytic functions; weighted sup-norm; compact oerator;
D O I：
10.1007/s00020-008-1630-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let Hμ∞ (double-struck D sign) be the weighted Banach space of analytic functions with a topology generated by weighted sup-norm. In the present article, we investigate the analytic mappings φ1*phi;2:double-struck D sign → double-struck D sign and θ π : double-struck D sign → ℂ which characterize the compactness of differences of two weighted composition operators Wφ1,θ -Wφ2,π on the space Hμ∞ (double-struck D sign) . As a consequence we characterize the compactness of differences of composition operators on weighted Bloch spaces. © 2008 Birkhaueser.
引用
收藏
页码：419 / 428
页数：10
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