The Essential Norm of Operators on Ap α(Bn)

Autores
Mitkovski, Mishko; Suarez, Fernando Daniel; Wick, Brett D.
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we characterize the compact operators on the weighted Bergman spaces Ap α(Bn) when 1 −1. The main result shows that an operator on Ap α(Bn) is compact if and only if it belongs to the Toeplitz algebra and its Berezin transform vanishes on the boundary of the ball
Fil: Mitkovski, Mishko. Clemson University; Estados Unidos
Fil: Suarez, Fernando Daniel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina
Fil: Wick, Brett D.. Georgia Institute Of Techology; Estados Unidos
Materia
Bergman Space
Toeplitz Operators
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/3305
Acceder
id CONICETDig_1862c43658085ba4961138606c024a5e
oai_identifier_str oai:ri.conicet.gov.ar:11336/3305
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling The Essential Norm of Operators on Ap α(Bn)Mitkovski, MishkoSuarez, Fernando DanielWick, Brett D.Bergman SpaceToeplitz Operatorshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we characterize the compact operators on the weighted Bergman spaces Ap α(Bn) when 1 <p< ∞ and α > −1. The main result shows that an operator on Ap α(Bn) is compact if and only if it belongs to the Toeplitz algebra and its Berezin transform vanishes on the boundary of the ballFil: Mitkovski, Mishko. Clemson University; Estados UnidosFil: Suarez, Fernando Daniel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; ArgentinaFil: Wick, Brett D.. Georgia Institute Of Techology; Estados UnidosBirkhauser Verlag Ag2013-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/3305Mitkovski, Mishko; Suarez, Fernando Daniel; Wick, Brett D.; The Essential Norm of Operators on Ap α(Bn); Birkhauser Verlag Ag; Integral Equations And Operator Theory; 75; 2; 1-2013; 197-2330378-620Xenginfo:eu-repo/semantics/altIdentifier/doi/info:eu-repo/semantics/altIdentifier/doi/10.1007/s00020-012-2025-1info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:02:11Zoai:ri.conicet.gov.ar:11336/3305instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:02:11.645CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The Essential Norm of Operators on Ap α(Bn)
title The Essential Norm of Operators on Ap α(Bn)
spellingShingle The Essential Norm of Operators on Ap α(Bn)
Mitkovski, Mishko
Bergman Space
Toeplitz Operators
title_short The Essential Norm of Operators on Ap α(Bn)
title_full The Essential Norm of Operators on Ap α(Bn)
title_fullStr The Essential Norm of Operators on Ap α(Bn)
title_full_unstemmed The Essential Norm of Operators on Ap α(Bn)
title_sort The Essential Norm of Operators on Ap α(Bn)
dc.creator.none.fl_str_mv Mitkovski, Mishko
Suarez, Fernando Daniel
Wick, Brett D.
author Mitkovski, Mishko
author_facet Mitkovski, Mishko
Suarez, Fernando Daniel
Wick, Brett D.
author_role author
author2 Suarez, Fernando Daniel
Wick, Brett D.
author2_role author
author
dc.subject.none.fl_str_mv Bergman Space
Toeplitz Operators
topic Bergman Space
Toeplitz Operators
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper we characterize the compact operators on the weighted Bergman spaces Ap α(Bn) when 1 <p< ∞ and α > −1. The main result shows that an operator on Ap α(Bn) is compact if and only if it belongs to the Toeplitz algebra and its Berezin transform vanishes on the boundary of the ball
Fil: Mitkovski, Mishko. Clemson University; Estados Unidos
Fil: Suarez, Fernando Daniel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina
Fil: Wick, Brett D.. Georgia Institute Of Techology; Estados Unidos
description In this paper we characterize the compact operators on the weighted Bergman spaces Ap α(Bn) when 1 <p< ∞ and α > −1. The main result shows that an operator on Ap α(Bn) is compact if and only if it belongs to the Toeplitz algebra and its Berezin transform vanishes on the boundary of the ball
publishDate 2013
dc.date.none.fl_str_mv 2013-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/3305
Mitkovski, Mishko; Suarez, Fernando Daniel; Wick, Brett D.; The Essential Norm of Operators on Ap α(Bn); Birkhauser Verlag Ag; Integral Equations And Operator Theory; 75; 2; 1-2013; 197-233
0378-620X
url http://hdl.handle.net/11336/3305
identifier_str_mv Mitkovski, Mishko; Suarez, Fernando Daniel; Wick, Brett D.; The Essential Norm of Operators on Ap α(Bn); Birkhauser Verlag Ag; Integral Equations And Operator Theory; 75; 2; 1-2013; 197-233
0378-620X
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/
info:eu-repo/semantics/altIdentifier/doi/10.1007/s00020-012-2025-1
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Birkhauser Verlag Ag
publisher.none.fl_str_mv Birkhauser Verlag Ag
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844613823522144256
score 13.070432

Publicaciones similares