Maximal function characterization of Hardy spaces related to Laguerre polynomial expansions

In this paper we introduce the atomic Hardy space H1 ((0, ∞), γα) associated with the non-doubling probability measure dγα(x) = 2x 2α+1 Γ(α+1) e −x 2 dx on (0, ∞), for α > − 1 2 . We obtain characterizations of H1 ((0, ∞), γα) by using two local maximal functions. We also prove that the truncated...

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Autores: Betancor, Jorge J., Dalmasso, Estefanía Dafne, Quijano, Pablo, Scotto, Roberto
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/215814
Acceso en línea:http://hdl.handle.net/11336/215814
Access Level:acceso abierto
Palabra clave:Hardy spaces
Atoms
Maximal functions
Laguerre polynomials
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
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spelling Maximal function characterization of Hardy spaces related to Laguerre polynomial expansionsBetancor, Jorge J.Dalmasso, Estefanía DafneQuijano, PabloScotto, RobertoHardy spacesAtomsMaximal functionsLaguerre polynomialshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we introduce the atomic Hardy space H1 ((0, ∞), γα) associated with the non-doubling probability measure dγα(x) = 2x 2α+1 Γ(α+1) e −x 2 dx on (0, ∞), for α > − 1 2 . We obtain characterizations of H1 ((0, ∞), γα) by using two local maximal functions. We also prove that the truncated maximal function defined through the heat semigroup generated by the Laguerre differential operator is bounded from H1 ((0, ∞), γα) into L1 ((0, ∞), γα).Fil: Betancor, Jorge J.. Universidad de la Laguna. Departamento de Analisis Matematico; EspañaFil: Dalmasso, Estefanía Dafne. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaFil: Quijano, Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaFil: Scotto, Roberto. Universidad Nacional del Litoral. Facultad de Ingeniería Química; ArgentinaCornell University2022-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/215814Betancor, Jorge J.; Dalmasso, Estefanía Dafne; Quijano, Pablo; Scotto, Roberto; Maximal function characterization of Hardy spaces related to Laguerre polynomial expansions; Cornell University; Arxiv; 2022; 8-2022; 1-272331-8422CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2208.06498info:eu-repo/semantics/altIdentifier/doi/10.48550/arXiv.2208.06498info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T13:32:55Zoai:ri.conicet.gov.ar:11336/215814instacron: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:34982024-05-08 13:32:55.517CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Maximal function characterization of Hardy spaces related to Laguerre polynomial expansions
title Maximal function characterization of Hardy spaces related to Laguerre polynomial expansions
spellingShingle Maximal function characterization of Hardy spaces related to Laguerre polynomial expansions
Betancor, Jorge J.
Hardy spaces
Atoms
Maximal functions
Laguerre polynomials
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
title_short Maximal function characterization of Hardy spaces related to Laguerre polynomial expansions
title_full Maximal function characterization of Hardy spaces related to Laguerre polynomial expansions
title_fullStr Maximal function characterization of Hardy spaces related to Laguerre polynomial expansions
title_full_unstemmed Maximal function characterization of Hardy spaces related to Laguerre polynomial expansions
title_sort Maximal function characterization of Hardy spaces related to Laguerre polynomial expansions
dc.creator.none.fl_str_mv Betancor, Jorge J.
Dalmasso, Estefanía Dafne
Quijano, Pablo
Scotto, Roberto
author Betancor, Jorge J.
author_facet Betancor, Jorge J.
Dalmasso, Estefanía Dafne
Quijano, Pablo
Scotto, Roberto
author_role author
author2 Dalmasso, Estefanía Dafne
Quijano, Pablo
Scotto, Roberto
author2_role author
author
author
dc.subject.none.fl_str_mv Hardy spaces
Atoms
Maximal functions
Laguerre polynomials
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
topic Hardy spaces
Atoms
Maximal functions
Laguerre polynomials
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
description In this paper we introduce the atomic Hardy space H1 ((0, ∞), γα) associated with the non-doubling probability measure dγα(x) = 2x 2α+1 Γ(α+1) e −x 2 dx on (0, ∞), for α > − 1 2 . We obtain characterizations of H1 ((0, ∞), γα) by using two local maximal functions. We also prove that the truncated maximal function defined through the heat semigroup generated by the Laguerre differential operator is bounded from H1 ((0, ∞), γα) into L1 ((0, ∞), γα).
publishDate 2022
dc.date.none.fl_str_mv 2022-08
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/11336/215814
Betancor, Jorge J.; Dalmasso, Estefanía Dafne; Quijano, Pablo; Scotto, Roberto; Maximal function characterization of Hardy spaces related to Laguerre polynomial expansions; Cornell University; Arxiv; 2022; 8-2022; 1-27
2331-8422
CONICET Digital
CONICET
url http://hdl.handle.net/11336/215814
identifier_str_mv Betancor, Jorge J.; Dalmasso, Estefanía Dafne; Quijano, Pablo; Scotto, Roberto; Maximal function characterization of Hardy spaces related to Laguerre polynomial expansions; Cornell University; Arxiv; 2022; 8-2022; 1-27
2331-8422
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2208.06498
info:eu-repo/semantics/altIdentifier/doi/10.48550/arXiv.2208.06498
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Cornell University
publisher.none.fl_str_mv Cornell University
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
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
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score 15,811543

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