Holomorphic NK and Bergman-type Spaces

被引：0
|
作者：
Ahmed, A. El-Sayed [1 ]
Bahkit, M. A. [1 ]
机构：
[1] Sohag Univ, Fac Sci, Dept Math, Sohag 82524, Egypt
来源：
OPERATOR ALGEBRAS, OPERATOR THEORY AND APPLICATIONS | 2010年 / 195卷
关键词：
N-K-space; Composition operators; Bergman-type spaces; Hadamard gap series; COMPOSITION OPERATORS; SERIES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we introduce a new class of functions, called N-K-type space of analytic functions by the help of a nondecreasing function K : [0, infinity) -> [0, infinity). Further, under mild conditions on the weight function K we characterize lacunary series in N-K space. Finally, we study the boundedness and compactness of composition operators between N-K and Bergman spaces.
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页码：121 / 138
页数：18
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