Hypercyclicity of weighted composition operators on a weighted Dirichlet space

DOI10.1080/17476933.2013.809573zbMath1303.47015OpenAlexW2062783465MaRDI QIDQ5419439

Li Zhang, Ze-Hua Zhou

Publication date: 6 June 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2013.809573

zbMATH Keywords

weighted composition operatorshypercyclic operatorsweighted Dirichlet spaces

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Linear composition operators (47B33) Cyclic vectors, hypercyclic and chaotic operators (47A16) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items

Composition operator between normal weight Dirichlet type space and Bloch type space ⋮ Order bounded weighted composition operators mapping into the Dirichlet type spaces ⋮ Notes on hypercyclicity of composition operator on the weighted Dirichlet spaces ⋮ Dynamics of composition operators on Hilbert spaces of Dirichlet series ⋮ Composition operators on the normal weight Dirichlet type space in the unit disc ⋮ Dynamics of composition operators on weighted Bergman spaces ⋮ Hypercyclic linear fractional composition operators on weighted Dirichlet spaces \(\mathcal{D}_\alpha^p\) ⋮ Hypercyclicity of composition operators on Banach spaces of analytic functions

Cites Work

• Universal functions for composition operators with non-automorphic symbol
• On the diophantine equation (a^n-1)(b^n-1)=x^2
• CHAOTIC PROPERTY OF WEIGHTED COMPOSITION OPERATORS
• HYPERCYCLICITY OF WEIGHTED COMPOSITION OPERATORS ON THE UNIT BALL OF ℂ^N
• Topologically mixing hypercyclic operators
• Hypercyclic property of weighted composition operators