On the Closures of Dirichlet Type Spaces in the Bloch Space

被引：0
作者：
Guanlong Bao
Nihat Gökhan Göğüş
机构：
[1] Shantou University,Department of Mathematics
[2] Sabanci University,Faculty of Engineering and Natural Sciences
来源：
Complex Analysis and Operator Theory | 2019年 / 13卷
关键词：
The Bloch space; Dirichlet type spaces; Closure; Interpolating Blaschke product; 30H30; 30J10; 46E15;
D O I：
暂无
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学科分类号：
摘要：
In this paper, via high order derivatives and via embedding derivatives of Bloch type functions into Lebesgue spaces, we characterize the closures of Dirichlet type spaces in the Bloch space. We obtain the inclusion relation between the closures and the little Bloch space. We consider the separability of the closures as Banach spaces. A criterion for an interpolating Blaschke product to be in the closures is given. We also consider the relation between the closures and the space of bounded analytic functions.
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页码：45 / 59
页数：14
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