Hypercyclic composition operators with automorphisms of the upper half-plane

DOI10.1016/j.jmaa.2022.126745OpenAlexW4300863008MaRDI QIDQ2097553

Kit C. Chan, Fadelah Almohammedali

Publication date: 14 November 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126745

zbMATH Keywords

automorphismcomposition operatorhypercyclic operatorupper half-planesimply connected regionuniversal operators

Mathematics Subject Classification ID

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

Cites Work

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• Dynamics of weighted composition operators
• Hypercyclic behaviour of multiples of composition operators on weighted Banach spaces of holomorphic functions
• Linear chaos
• Universal functions for composition operators with non-automorphic symbol
• A Seidel-Walsh theorem with linear differential operators
• Composition operators and classical function theory
• Hypercyclic linear fractional composition operators on weighted Dirichlet spaces \(\mathcal{D}_\alpha^p\)
• Hypercyclic composition operators on the little Bloch space and the Besov spaces
• HYPERCYCLICITY OF WEIGHTED COMPOSITION OPERATORS ON THE UNIT BALL OF ℂ^N
• Universal Vectors for Operators on Spaces of Holomorphic Functions
• Hypercyclic composition operators on spaces of real analytic functions
• Universal functions for composition operators
• Hypercyclic composition operators on H_v⁰‐spaces
• Hypercyclic property of weighted composition operators
• Compositional universality in the N-dimensional ball
• On approximation by euclidean and non-euclidean translations of an analytic function

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