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;

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

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