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,...

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Detalhes bibliográficos
Autores: Bernal González, Luis, Bonilla Ramírez, Antonio Lorenzo
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2010
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/41787
Acesso em linha:http://hdl.handle.net/11441/41787
Access Level:acceso abierto
Palavra-chave:composition operator
chaotic operator
frequently hypercyclic operator
weighted Dirichlet spaces
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spelling Compositional frequent hypercyclicity on weighted Dirichlet spacesBernal González, LuisBonilla Ramírez, Antonio Lorenzocomposition operatorchaotic operatorfrequently hypercyclic operatorweighted Dirichlet spacesIt 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.Plan Andaluz de Investigación (Junta de Andalucía)Ministerio de Educación y CienciaFondo Europeo de Desarrollo RegionalThe Belgian Mathematical SocietyAnálisis Matemático2010info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/41787reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésBulletin of the Belgian Mathematical Society Simon Stevin, 17 (1), 1-11.FQM-127MTM2006-13997-C02-01MTM2005-07347MTM2006-26627-Einfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/417872026-06-17T12:51:07Z
dc.title.none.fl_str_mv Compositional frequent hypercyclicity on weighted Dirichlet spaces
title Compositional frequent hypercyclicity on weighted Dirichlet spaces
spellingShingle Compositional frequent hypercyclicity on weighted Dirichlet spaces
Bernal González, Luis
composition operator
chaotic operator
frequently hypercyclic operator
weighted Dirichlet spaces
title_short Compositional frequent hypercyclicity on weighted Dirichlet spaces
title_full Compositional frequent hypercyclicity on weighted Dirichlet spaces
title_fullStr Compositional frequent hypercyclicity on weighted Dirichlet spaces
title_full_unstemmed Compositional frequent hypercyclicity on weighted Dirichlet spaces
title_sort Compositional frequent hypercyclicity on weighted Dirichlet spaces
dc.creator.none.fl_str_mv Bernal González, Luis
Bonilla Ramírez, Antonio Lorenzo
author Bernal González, Luis
author_facet Bernal González, Luis
Bonilla Ramírez, Antonio Lorenzo
author_role author
author2 Bonilla Ramírez, Antonio Lorenzo
author2_role author
dc.contributor.none.fl_str_mv Análisis Matemático
dc.subject.none.fl_str_mv composition operator
chaotic operator
frequently hypercyclic operator
weighted Dirichlet spaces
topic composition operator
chaotic operator
frequently hypercyclic operator
weighted Dirichlet spaces
description 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.
publishDate 2010
dc.date.none.fl_str_mv 2010
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/41787
url http://hdl.handle.net/11441/41787
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Bulletin of the Belgian Mathematical Society Simon Stevin, 17 (1), 1-11.
FQM-127
MTM2006-13997-C02-01
MTM2005-07347
MTM2006-26627-E
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv The Belgian Mathematical Society
publisher.none.fl_str_mv The Belgian Mathematical Society
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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