Compact differences of weighted composition operators from weighted Bergman spaces to weighted-type spaces

被引：20
|
作者：
Jiang, Zhi Jie [2 ]
Stevic, Stevo [1 ]
机构：
[1] Serbian Acad Sci, Math Inst, Belgrade 11000, Serbia
[2] Sichuan Univ Sci & Engn, Dept Math, Zigong 643000, Sichuan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 07期
关键词：
Weighted composition operator; Weighted Bergman space; Weighted-type space; Compact operator; MIXED NORM SPACE; BLOCH-TYPE SPACE; GENERALIZED COMPOSITION OPERATORS; INTEGRAL-TYPE OPERATORS; BANACH-SPACES; H-INFINITY; TOPOLOGICAL-STRUCTURE; PRODUCTS;
D O I：
10.1016/j.amc.2010.09.027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We characterize the compactness of differences of weighted composition operators from the weighted Bergman space A(alpha)(p), 0 < p < infinity, alpha > -1, to the weighted-type space H-v(infinity) of analytic functions on the open unit disk D in terms of inducing symbols phi(1), phi(2) : D -> D and u(1), u(2) : D -> C. For the case 1 < p < infinity we find an asymptotically equivalent expression to the essential norm of these operators. (C) 2010 Elsevier Inc. All rights reserved.
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页码：3522 / 3530
页数：9
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