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.

引用

页码：1371 / 1377

页数：7

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