Korenblum’s Principle for Bergman spaces with radial weights

We show that the Korenblum maximum (domination) principle is valid for weighted Bergman spaces Ap w with arbitrary (non-negative and integrable) radial weights w in the case 1 ≤ p < ∞. We also notice that in every weighted Bergman space the supremum of all radii for which the principle holds is s...

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Detalles Bibliográficos
Autores: Efraimidis, Iason, Llinares Romero, Adrián, Vukotic Jovsic, Dragan
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/712857
Acceso en línea:http://hdl.handle.net/10486/712857
https://dx.doi.org/10.1007/s40315-024-00543-6
Access Level:acceso abierto
Palabra clave:Weighted Bergman Space
Domination
30H20
Matemáticas
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spelling Korenblum’s Principle for Bergman spaces with radial weightsEfraimidis, IasonLlinares Romero, AdriánVukotic Jovsic, DraganWeighted Bergman SpaceDomination30H20MatemáticasWe show that the Korenblum maximum (domination) principle is valid for weighted Bergman spaces Ap w with arbitrary (non-negative and integrable) radial weights w in the case 1 ≤ p < ∞. We also notice that in every weighted Bergman space the supremum of all radii for which the principle holds is strictly smaller than one. Under the mild additional assumption lim infr→0+ w(r) > 0, we show that the principle fails whenever 0 < p < 1All authors are partially supported by PID2019-106870GB-I00 from MICINN, Spain. The first author is supported by a María Zambrano contract, reference number CA3/RSUE/2021-00386, from UAM and Ministerio de Universidades, Spain (Plan de Recuperación, Transformación y Resiliencia). Second author’s work is funded by the postdoctoral scholarship JCK22-0052 granted by The Kempe Foundations. The third author is also partially supported by Project 4662, 2nd Call for H.F.R.I. Research Projects for the Support of Faculty Members and Researchers, Greece)SpringerDepartamento de MatemáticasFacultad de Ciencias20242024-05-18research articlehttp://purl.org/coar/resource_type/c_2df8fbb1VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/712857https://dx.doi.org/10.1007/s40315-024-00543-6reponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:Universidad Autónoma de MadridInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:repositorio.uam.es:10486/7128572026-06-23T12:46:27Z
dc.title.none.fl_str_mv Korenblum’s Principle for Bergman spaces with radial weights
title Korenblum’s Principle for Bergman spaces with radial weights
spellingShingle Korenblum’s Principle for Bergman spaces with radial weights
Efraimidis, Iason
Weighted Bergman Space
Domination
30H20
Matemáticas
title_short Korenblum’s Principle for Bergman spaces with radial weights
title_full Korenblum’s Principle for Bergman spaces with radial weights
title_fullStr Korenblum’s Principle for Bergman spaces with radial weights
title_full_unstemmed Korenblum’s Principle for Bergman spaces with radial weights
title_sort Korenblum’s Principle for Bergman spaces with radial weights
dc.creator.none.fl_str_mv Efraimidis, Iason
Llinares Romero, Adrián
Vukotic Jovsic, Dragan
author Efraimidis, Iason
author_facet Efraimidis, Iason
Llinares Romero, Adrián
Vukotic Jovsic, Dragan
author_role author
author2 Llinares Romero, Adrián
Vukotic Jovsic, Dragan
author2_role author
author
dc.contributor.none.fl_str_mv Departamento de Matemáticas
Facultad de Ciencias
dc.subject.none.fl_str_mv Weighted Bergman Space
Domination
30H20
Matemáticas
topic Weighted Bergman Space
Domination
30H20
Matemáticas
description We show that the Korenblum maximum (domination) principle is valid for weighted Bergman spaces Ap w with arbitrary (non-negative and integrable) radial weights w in the case 1 ≤ p < ∞. We also notice that in every weighted Bergman space the supremum of all radii for which the principle holds is strictly smaller than one. Under the mild additional assumption lim infr→0+ w(r) > 0, we show that the principle fails whenever 0 < p < 1
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-05-18
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
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 http://hdl.handle.net/10486/712857
https://dx.doi.org/10.1007/s40315-024-00543-6
url http://hdl.handle.net/10486/712857
https://dx.doi.org/10.1007/s40315-024-00543-6
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
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Biblos-e Archivo. Repositorio Institucional de la UAM
instname:Universidad Autónoma de Madrid
instname_str Universidad Autónoma de Madrid
reponame_str Biblos-e Archivo. Repositorio Institucional de la UAM
collection Biblos-e Archivo. Repositorio Institucional de la UAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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