Chaos of the Differentiation Operator on Weighted Banach Spaces of Entire Functions

被引：18

作者：

Bonet, Jose ^{[1
]}

Bonilla, Antonio ^{[2
]}

机构：

[1] Univ Politecn Valencia, IUMPA, Valencia 46022, Spain

[2] Univ La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Tenerife, Spain

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2013年 / 7卷 / 01期

关键词：

Weighted spaces of entire functions; Differentiation operator; Hypercyclic operator; Chaotic operator; Frequently hypercyclic operator; HYPERCYCLIC ENTIRE-FUNCTIONS; HOLOMORPHIC-FUNCTIONS; GROWTH;

D O I：

10.1007/s11785-011-0134-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by recent work on the rate of growth of frequently hypercyclic entire functions due to Blasco, Grosse-Erdmann and Bonilla, we investigate conditions to ensure that the differentiation operator is chaotic or frequently hypercyclic on generalized weighted Bergman spaces of entire functions studied by Lusky, whenever the differentiation operator is continuous. As a consequence we partially complete the knowledge of possible rates of growth of frequently hypercyclic entire functions for the differentiation operator.

引用

页码：33 / 42

页数：10

共 23 条

[1]

[Anonymous], 1952, Journal d'Analyse Mathematique, DOI DOI 10.1007/BF02786968

[2] Hypercyclicity: the role of the unimodular point spectrum [J].