Compositional frequent hypercyclicity on weighted Dirichlet spaces
It is proved that, in most cases, a scalar multiple of a linear-fractional generated composition operator λCϕ acting on a weighted Dirichlet space Sν of holomorphic functions in the open unit disk is frequently hypercyclic if and only if it is hypercyclic. In fact, this holds for all triples (ν, λ,...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/41787 |
| Acceso en línea: | http://hdl.handle.net/11441/41787 |
| Access Level: | acceso abierto |
| Palabra clave: | composition operator chaotic operator frequently hypercyclic operator weighted Dirichlet spaces |
| Sumario: | It is proved that, in most cases, a scalar multiple of a linear-fractional generated composition operator λCϕ acting on a weighted Dirichlet space Sν of holomorphic functions in the open unit disk is frequently hypercyclic if and only if it is hypercyclic. In fact, this holds for all triples (ν, λ, ϕ) with the possible exception of those satisfying ν ∈ [1/4, 1/2), |λ| = 1, ϕ = a parabolic automorphism. |
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