Composition operators from Bloch type spaces to Hardy and Besov spaces

被引：49
|
作者：
Zhao, RH [1 ]
机构：
[1] Kyoto Univ, Fac Sci, Dept Math, Kyoto 6068502, Japan
[2] Univ Joensuu, Dept Math, FIN-80101 Joensuu, Finland
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1999年 / 233卷 / 02期
关键词：
D O I：
10.1006/jmaa.1999.6341
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Boundedness and compactness of composition operators from Bloch type spaces to Hardy spaces and analytic Besov spaces are characterized by function theoretic properties of their inducing maps. For the case of the Bloch space, the characterizations involve the hyperbolic versions of Hardy and Besov classes. The conditions for the hyperbolic Besov classes are then interpreted geometrically when the symbols are univalent, and strict inclusion between different hyperbolic Besov classes is shown by an example. (C) 1999 Academic Press.
引用
收藏
页码：749 / 766
页数：18
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