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.

引用

页码：121 / 138

页数：18

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