Dynamics of composition operators on weighted Bergman spaces

DOI10.1016/j.indag.2015.11.012zbMath1357.47012OpenAlexW2188540565MaRDI QIDQ904190

Liang Zhang, Ze-Hua Zhou

Publication date: 12 January 2016

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2015.11.012

zbMATH Keywords

weighted Bergman spacescomposition operatorsdisjoint hypercyclicfrequently hypercyclic

Mathematics Subject Classification ID

Linear composition operators (47B33) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items

Simultaneous universality, Notes on hypercyclicity of composition operator on the weighted Dirichlet spaces, Characterizations of the \(d \mathcal{F} \)-transitive and \(\mathcal{F} \)-transitive families of composition operators on \(L^p\)-spaces, On the existence of infinite-dimensional closed subspaces of frequently hypercyclic vectors for \(T_f\), Hypercyclic linear fractional composition operators on weighted Dirichlet spaces \(\mathcal{D}_\alpha^p\), Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Disjoint mixing operators
• Existence of disjoint weakly mixing operators that fail to satisfy the disjoint hypercyclicity criterion
• Disjoint hypercyclic linear fractional composition operators
• Linear chaos
• Compositional frequent hypercyclicity on weighted Dirichlet spaces
• Cyclic behavior of linear fractional composition operators in the unit ball of \(\mathbb C^N\)
• Disjointness in hypercyclicity
• Cyclic phenomena for composition operators
• HYPERCYCLICITY OF WEIGHTED COMPOSITION OPERATORS ON THE UNIT BALL OF ℂ^N
• Frequently hypercyclic operators
• The role of the spectrum in the cyclic behavior of composition operators
• Spaces of Holomorphic Functions in the Unit Ball
• Disjoint hypercyclic operators
• Hypercyclicity of weighted composition operators on a weighted Dirichlet space