Composition operators and closures of Dirichlet type spaces Dα in the logarithmic Bloch space

被引：12

作者：

Qian, Ruishen ^{[1
]}

Li, Songxiao ^{[2
,3
]}

机构：

[1] Lingnan Normal Univ, Sch Math & Stat, Zhanjiang 524048, Guangdong, Peoples R China

[2] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu 610054, Sichuan, Peoples R China

[3] Macau Univ Sci & Technol, Inst Syst Engn, Taipa, Macao, Peoples R China

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2018年 / 29卷 / 05期

关键词：

Composition operator; Dirichlet type space; Logarithmic Bloch space; Closure; COMPACT COMPOSITION OPERATORS; MOBIUS INVARIANT SPACES;

D O I：

10.1016/j.indag.2018.07.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we characterize the closures of Dirichlet type spaces D-alpha in the logarithmic Bloch space. Moreover, we study the boundedness and compactness of composition operators from the logarithmic Bloch space to closures of Dirichlet type spaces D-alpha in the logarithmic Bloch space. (C) 2018 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

引用

页码：1432 / 1440

页数：9

共 17 条

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