Hypercyclic composition operators on the little Bloch space and the Besov spaces

被引：6

作者：

Liang, Yu-Xia ^{[1
]}

Zhou, Ze-Hua ^{[1
]}

机构：

[1] Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2018年 / 29卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Hypercyclic; Composition operator; Bloch space; Besov space; INVARIANT;

D O I：

10.1016/j.indag.2018.03.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let S(D) be the collection of all holomorphic self-maps on D of the complex plane C, and C-phi the composition operator induced by phi is an element of S(D). We obtain that there are no hypercyclic composition operators on the little Bloch space B-0 and the Besov space B-p. (C) 2018 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

引用

页码：986 / 996

页数：11

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