COMPOSITION OPERATORS ACTING BETWEEN SOME WEIGHTED MOBIUS INVARIANT SPACES

被引：0

作者：

Ahmed, A. El-Sayed ^{[1
,2
]}

Bakhit, M. A. ^{[3
]}

机构：

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

[2] Taif Univ, Fac Sci, Dept Math, El Taif 5700, Saudi Arabia

[3] Jazan Univ, Fac Sci, Dept Math, Jazan, Saudi Arabia

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2011年 / 2卷 / 02期

关键词：

Composition operators; weighted logarithmic Bloch functions; F-log(p; q; s); spaces; BLOCH SPACE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate conditions under which a holomorphic self-map of the unit disk induces a composition operator C-phi with closed range on the weighted Bloch space B-log. Also, we introduce a new class of functions the so called F-log(p, q, s) spaces. Necessary and sufficient conditions are given for a composition operator C-phi to be bounded and compact from B-log to F-log(p, q, s). Moreover, necessary and sufficient conditions for C-phi from the Dirichlet space D to the spaces F-log(p, q, s) to be compact are given in terms of the map phi..

引用

页码：138 / 152

页数：15

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