Closed Range Composition Operators on BMOA

被引：0
|
作者：
Kevser Erdem
Maria Tjani
机构：
[1] University of Cincinnati,Department of Mathematical Sciences
[2] University of Arkansas,Department of Mathematical Sciences
来源：
Complex Analysis and Operator Theory | 2021年 / 15卷
关键词：
Composition operator; Bloch space; Closed range; Bounded below; Primary 47B33; 47B38; 30H10; 30H20; Secondary 46E22; 47B32;
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摘要：
We employ a new reverse Carleson type condition and define a new sampling condition to study closed range composition operators on BMOA. We provide necessary and also sufficient conditions for a composition operator to be closed range on BMOA. We show that a composition operator is closed range as an operator from the Bloch space to BMOA if and only if it is bounded below on all Möbius transformations.
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