Sampling sets and closed range composition operators on the Bloch space

被引：32
|
作者：
Ghatage, P [1 ]
Zheng, DC
Zorboska, N
机构：
[1] Cleveland State Univ, Dept Math, Cleveland, OH 44115 USA
[2] Vanderbilt Univ, Dept Math, Nashville, TN USA
[3] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 05期
关键词：
D O I：
10.1090/S0002-9939-04-07646-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a necessary and sufficient condition for a composition operator C-phi on the Bloch space to have closed range. We show that when phi is univalent, it is sufficient to consider the action of C-phi on the set of Mobius transforms. In this case the closed range property is equivalent to a specific sampling set satisfying the reverse Carleson condition.
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页码：1371 / 1377
页数：7
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