Eigenfunctions of Composition Operators on Bloch-type Spaces

被引：0

作者：

Paudyal, B. ^{[1
]}

机构：

[1] Cent State Univ, Wilberforce, OH 45384 USA

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2018年 / 53卷 / 05期

关键词：

Composition operator; Schroder equation; Bloch space;

D O I：

10.3103/S1068362318050035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose phi is a holomorphic self map of the unit disk and C-phi is a composition operator with symbol phi that fixes the origin and 0 < vertical bar phi'(0)vertical bar < 1. This paper explores sufficient conditions that ensure all the holomorphic solutions of Schroder equation for the composition operator C-phi to belong to a Bloch-type space B-alpha for some alpha > 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：10

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