Besov spaces and the boundedness of weighted Bergman projections over symmetric tube domains

We extend the analysis of weighted Bergman spaces Ap;q/s on symmetric tube domains, contained in [2], to the case where the weights are positive powers [formula] of the principal minors [Delta]1,...,[Delta]r on the symmetric cone [omega]. We discuss the realization of the boundary distributions of f...

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Detalhes bibliográficos
Autor: Debertol, Daniele
Formato: artículo
Fecha de publicación:2005
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:2050
Acesso em linha:https://ddd.uab.cat/record/2050
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_49105_02
Access Level:acceso abierto
Palavra-chave:Bergman projection
Jordan algebra
Besov multipliers
Boundary values
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spelling Besov spaces and the boundedness of weighted Bergman projections over symmetric tube domainsDebertol, DanieleBergman projectionJordan algebraBesov multipliersBoundary valuesWe extend the analysis of weighted Bergman spaces Ap;q/s on symmetric tube domains, contained in [2], to the case where the weights are positive powers [formula] of the principal minors [Delta]1,...,[Delta]r on the symmetric cone [omega]. We discuss the realization of the boundary distributions of functions in Ap;q/s in terms of Besov-type spaces Bp;q/s adapted to the structure of the cone. We give a necessary and a sufficient condition on the values of p, q and s for which this identification between Ap;q/s and Bp;q/s holds. We also present a continuous version of thesse latter spaces which is new even for the case s1 = ... = s1 considered in [2]. We use these results to discuss multipliers between Besov spaces and the boundedness of the weighted Bergman projection Ps: Lp;q/s --> Ap;q/s. The situation in the rank two case is specifically dealt with. 22005-01-0120052005-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/2050https://dx.doi.org/urn:doi:10.5565/PUBLMAT_49105_02reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:20502026-06-06T12:50:31Z
dc.title.none.fl_str_mv Besov spaces and the boundedness of weighted Bergman projections over symmetric tube domains
title Besov spaces and the boundedness of weighted Bergman projections over symmetric tube domains
spellingShingle Besov spaces and the boundedness of weighted Bergman projections over symmetric tube domains
Debertol, Daniele
Bergman projection
Jordan algebra
Besov multipliers
Boundary values
title_short Besov spaces and the boundedness of weighted Bergman projections over symmetric tube domains
title_full Besov spaces and the boundedness of weighted Bergman projections over symmetric tube domains
title_fullStr Besov spaces and the boundedness of weighted Bergman projections over symmetric tube domains
title_full_unstemmed Besov spaces and the boundedness of weighted Bergman projections over symmetric tube domains
title_sort Besov spaces and the boundedness of weighted Bergman projections over symmetric tube domains
dc.creator.none.fl_str_mv Debertol, Daniele
author Debertol, Daniele
author_facet Debertol, Daniele
author_role author
dc.subject.none.fl_str_mv Bergman projection
Jordan algebra
Besov multipliers
Boundary values
topic Bergman projection
Jordan algebra
Besov multipliers
Boundary values
description We extend the analysis of weighted Bergman spaces Ap;q/s on symmetric tube domains, contained in [2], to the case where the weights are positive powers [formula] of the principal minors [Delta]1,...,[Delta]r on the symmetric cone [omega]. We discuss the realization of the boundary distributions of functions in Ap;q/s in terms of Besov-type spaces Bp;q/s adapted to the structure of the cone. We give a necessary and a sufficient condition on the values of p, q and s for which this identification between Ap;q/s and Bp;q/s holds. We also present a continuous version of thesse latter spaces which is new even for the case s1 = ... = s1 considered in [2]. We use these results to discuss multipliers between Besov spaces and the boundedness of the weighted Bergman projection Ps: Lp;q/s --> Ap;q/s. The situation in the rank two case is specifically dealt with.
publishDate 2005
dc.date.none.fl_str_mv 2
2005-01-01
2005
2005-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/2050
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_49105_02
url https://ddd.uab.cat/record/2050
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_49105_02
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
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eu_rights_str_mv openAccess
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dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
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