Weighted Composition Operators from Analytic Besov Spaces into the Bloch Space

被引：7

作者：

Hu, Qinghua ^{[1
]}

Li, Songxiao ^{[2
]}

Wulan, Hasi ^{[3
]}

机构：

[1] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Zhejiang, Peoples R China

[2] Macau Univ Sci & Technol, Inst Syst Engn, Ave Wai Long, Taipa, Macau, Peoples R China

[3] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2019年 / 42卷 / 02期

关键词：

Besov space; Bloch space; Essential norm; Weighted composition operator;

D O I：

10.1007/s40840-017-0493-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give some new essential norm estimates of weighted composition operators uC phi from analytic Besov spaces into the Bloch space, where u is a function analytic on the unit disk D and phi is an analytic self-map of D. Moreover, new characterizations for the boundedness, compactness and essential norm of weighted composition operators uC phi are obtained by the nth power of the symbol phi and the Volterra operators Iu and Ju.

引用

页码：485 / 501

页数：17

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