Dynamics of composition operators on weighted Bergman spaces

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• 作者：Liang Zhang^a ; ^{168zhangliang2011@163.com" class="auth_mail" title="E-mail the corresponding author} ; Ze-Hua Zhou^b ; ^c ; ^{zehuazhoumath@aliyun.com" class="auth_mail" title="E-mail the corresponding author} ; ^{zhzhou@tju.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Frequently hypercyclic ; Disjoint hypercyclic ; Composition operators ; Weighted Bergman spaces
• 刊名：Indagationes Mathematicae
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：27
• 期：1
• 页码：406-418
• 全文大小：226 K

文摘

We discuss the frequent hypercyclicity and hypercyclicity of multiples of the linear fractional composition operators on $A_{\alpha }^p$ and give equivalent conditions of the frequent hypercyclicity and hypercyclicity. We also characterize disjoint hypercyclicity and disjoint mixing behavior of finitely many linear fractional composition operators on the weighted Bergman spaces $A_{\alpha }^p$.