Natural metrics and composition operators in generalized hyperbolic function spaces

被引：0
|
作者：
A El-Sayed Ahmed
机构：
[1] Sohag University,Faculty of Science, Mathematics Department
[2] Taif University,Faculty of Science, Mathematics Department
来源：
Journal of Inequalities and Applications | / 2012卷
关键词：
hyperbolic classes; composition operators; -Bloch space; classes;
D O I：
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学科分类号：
摘要：
In this paper, we define some generalized hyperbolic function classes. We also introduce natural metrics in the generalized hyperbolic (p,α)-Bloch and in the generalized hyperbolic Q∗(p,s) classes. These classes are shown to be complete metric spaces with respect to the corresponding metrics. Moreover, boundedness and compactness the composition operators Cϕ acting from the generalized hyperbolic (p,α)-Bloch class to the class Q∗(p,s) are characterized by conditions depending on an analytic self-map ϕ:D→D.
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