Composition operators from the Hardy space to the nth weighted-type space on the unit disk and the half-plane

被引：31
|
作者：
Stevic, Stevo [1 ]
机构：
[1] Serbian Acad Sci, Math Inst, Belgrade 11000, Serbia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 215卷 / 11期
关键词：
Composition operator; Boundedness; Hardy space; Upper half-plane; Unit disk; ZYGMUND-TYPE SPACES; BERGMAN SPACES; BLOCH-SPACES; H-INFINITY; NORMS;
D O I：
10.1016/j.amc.2009.11.043
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The boundedness of the composition operator C(phi)f(z) = f(phi(z)) from the Hardy space H-p (X), p > 0, where X is the upper half-plane Pi(+) = {z is an element of C : Imz > 0} or the unit disk D = {z is an element of C : vertical bar z vertical bar < 1} in the complex plane C, to the nth weighted-type space, where phi is an analytic self-map of X, is characterized. (C) 2009 Elsevier Inc. All rights reserved.
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页码：3950 / 3955
页数：6
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