Eigenfunctions of Composition Operators on Bloch-type Spaces

被引：0

作者：

B. Paudyal

机构：

[1] Central State University,

来源：

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) | 2018年 / 53卷

关键词：

Composition operator; Schröder equation; Bloch space; 47B33;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Suppose φ is a holomorphic self map of the unit disk and Cφ is a composition operator with symbol φ that fixes the origin and 0 < |φ'(0)| < 1. This paper explores sufficient conditions that ensure all the holomorphic solutions of Schröder equation for the composition operator Cφ to belong to a Bloch-type space Bα for some α > 0. In the second part of the paper, the results obtained for composition operators are extended to the case of weighted composition operators.

引用

页码：266 / 275

页数：9

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