Quasi-Metric Spaces and Composition Operators on Bα,log* and Qp,log* Spaces

被引：3

作者：

Kamal, A. ^{[1
]}

Ahmed, A. El-Sayed ^{[2
]}

Yassen, T. I. ^{[3
]}

机构：

[1] Port Said Univ, Dept Math, Fac Sci, Port Said 42521, Egypt

[2] Sohag Univ, Dept Math, Fac Sci, Sohag 82524, Egypt

[3] Assiut El Azhar Univ, Dept Math, Fac Sci, Assiut, Egypt

来源：

JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE | 2015年 / 12卷 / 08期

关键词：

Quasi-Metric Space; Logarithmic Hyperbolic Classes; Composition Operators; BLOCH SPACE;

D O I：

10.1166/jctn.2015.3960

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

In this paper, we define some new weighted hyperbolic type-classes of functions, which will be called B-alpha,B-log* and Q(p,log)* classes. Furthermore, we introduce quasi-metrics in the hyperbolic B-alpha,B-log* and hyperbolic Q(p,log)* type classes. These classes are shown to be complete quasi-metric spaces with respect to the corresponding metrics. Moreover, necessary and sufficient conditions are given for the composition operator C-phi be bounded and compact composition operator from B-alpha,B-log* to Q(p,log)* spaces.

引用

页码：1795 / 1801

页数：7

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