Multipliers for Hardy spaces of Dirichlet series

[EN] We characterise the space of multipliers from the Hardy space of Dirichlet series H(P )into 'H-q for every 1 <= p, q <= infinity. For a fixed Dirichlet series, we also analyse some structural properties of its associated multiplication operator. In particular, we study th...

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Authors: Fernández Vidal, Tomás, Galicer, Daniel, Sevilla Peris, Pablo|||0000-0001-5222-4768
Format: article
Publication Date:2025
Country:España
Institution:Universitat Politècnica de València (UPV)
Repository:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Language:English
OAI Identifier:oai:riunet.upv.es:10251/226359
Online Access:https://riunet.upv.es/handle/10251/226359
Access Level:Open access
Keyword:Multipliers
Spaces of Dirichlet series
Hardy spaces
Infinite dimensional analysis
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spelling Multipliers for Hardy spaces of Dirichlet seriesFernández Vidal, TomásGalicer, DanielSevilla Peris, Pablo|||0000-0001-5222-4768MultipliersSpaces of Dirichlet seriesHardy spacesInfinite dimensional analysis[EN] We characterise the space of multipliers from the Hardy space of Dirichlet series H(P )into 'H-q for every 1 <= p, q <= infinity. For a fixed Dirichlet series, we also analyse some structural properties of its associated multiplication operator. In particular, we study the norm, the essential norm, and the spectrum for an operator of this kind. We exploit the existing natural identification of spaces of Dirichlet series with spaces of holomorphic functions in infinitely many variables and apply several methods from complex and harmonic analysis to obtain our results. As a byproduct we get analogous statements on such Hardy spaces of holomorphic functions.First author supported by CONICET-PIP 11220200102336. Second author supported by PICT 2018-4250. Third author supported by grant PID2021-122126NB-C33 funded by MCIN/AEI/10.13039/501100011033 and by "ERDF A way of making Europe", and by GV Project AICO/2021/170.Association des Annales de l'Institut FourierDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería Agronómica y del Medio NaturalGeneralitat ValencianaAgencia Estatal de InvestigaciónEuropean Regional Development FundConsejo Nacional de Investigaciones Científicas y Técnicas, ArgentinaAgencia Nacional de Promoción de la Investigación, el Desarrollo Tecnológico y la Innovación, ArgentinaRepositorio Institucional de la Universitat Politècnica de València Riunet20252025-06-17journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/226359reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-122126NB-C33 ANALISIS COMPLEJO Y GEOMETRIA EN ESPACIOS DE BANACHConsejo Nacional de Investigaciones Científicas y Técnicas, Argentina https://doi.org/10.13039/501100002923 11220200102336Generalitat Valenciana https://doi.org/10.13039/501100003359 AICO%2F2021%2F170Agencia Nacional de Promoción Científica y Tecnológica, Argentina https://doi.org/10.13039/501100003074 PICT 2018-4250open accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - Sin obra derivada (by-nd) http://creativecommons.org/licenses/by-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/2263592026-06-13T07:49:27Z
dc.title.none.fl_str_mv Multipliers for Hardy spaces of Dirichlet series
title Multipliers for Hardy spaces of Dirichlet series
spellingShingle Multipliers for Hardy spaces of Dirichlet series
Fernández Vidal, Tomás
Multipliers
Spaces of Dirichlet series
Hardy spaces
Infinite dimensional analysis
title_short Multipliers for Hardy spaces of Dirichlet series
title_full Multipliers for Hardy spaces of Dirichlet series
title_fullStr Multipliers for Hardy spaces of Dirichlet series
title_full_unstemmed Multipliers for Hardy spaces of Dirichlet series
title_sort Multipliers for Hardy spaces of Dirichlet series
dc.creator.none.fl_str_mv Fernández Vidal, Tomás
Galicer, Daniel
Sevilla Peris, Pablo|||0000-0001-5222-4768
author Fernández Vidal, Tomás
author_facet Fernández Vidal, Tomás
Galicer, Daniel
Sevilla Peris, Pablo|||0000-0001-5222-4768
author_role author
author2 Galicer, Daniel
Sevilla Peris, Pablo|||0000-0001-5222-4768
author2_role author
author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Instituto Universitario de Matemática Pura y Aplicada
Escuela Técnica Superior de Ingeniería Agronómica y del Medio Natural
Generalitat Valenciana
Agencia Estatal de Investigación
European Regional Development Fund
Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina
Agencia Nacional de Promoción de la Investigación, el Desarrollo Tecnológico y la Innovación, Argentina
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Multipliers
Spaces of Dirichlet series
Hardy spaces
Infinite dimensional analysis
topic Multipliers
Spaces of Dirichlet series
Hardy spaces
Infinite dimensional analysis
description [EN] We characterise the space of multipliers from the Hardy space of Dirichlet series H(P )into 'H-q for every 1 <= p, q <= infinity. For a fixed Dirichlet series, we also analyse some structural properties of its associated multiplication operator. In particular, we study the norm, the essential norm, and the spectrum for an operator of this kind. We exploit the existing natural identification of spaces of Dirichlet series with spaces of holomorphic functions in infinitely many variables and apply several methods from complex and harmonic analysis to obtain our results. As a byproduct we get analogous statements on such Hardy spaces of holomorphic functions.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-06-17
dc.type.none.fl_str_mv journal 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://riunet.upv.es/handle/10251/226359
url https://riunet.upv.es/handle/10251/226359
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-122126NB-C33 ANALISIS COMPLEJO Y GEOMETRIA EN ESPACIOS DE BANACH
Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina https://doi.org/10.13039/501100002923 11220200102336
Generalitat Valenciana https://doi.org/10.13039/501100003359 AICO%2F2021%2F170
Agencia Nacional de Promoción Científica y Tecnológica, Argentina https://doi.org/10.13039/501100003074 PICT 2018-4250
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - Sin obra derivada (by-nd)
http://creativecommons.org/licenses/by-nd/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
Reconocimiento - Sin obra derivada (by-nd)
http://creativecommons.org/licenses/by-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Association des Annales de l'Institut Fourier
publisher.none.fl_str_mv Association des Annales de l'Institut Fourier
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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