Norm of weighted composition operators from α-Bloch spaces to weighted-type spaces

被引:52
|
作者
Stevic, Stevo [1 ]
机构
[1] Serbian Acad Sci, Math Inst, Belgrade 11000, Serbia
关键词
Weighted composition operator; alpha-Bloch space; Weighted-type space; Operator norm; H-INFINITY; UNIT BALL; BERGMAN SPACES; BANACH-SPACES; POLYDISK;
D O I
10.1016/j.amc.2009.06.005
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We calculate in an elegant way operator norm of the weighted composition operator from the alpha-Bloch space, with alpha is an element of (0, infinity)\{1}, to a weighted-type space on the unit ball. This result can be regarded as a complement to our recent result regarding the same problem for the case alpha = 1. (C) 2009 Elsevier Inc. All rights reserved.
引用
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页码:818 / 820
页数:3
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