Endpoint estimates for harmonic analysis operators associated with Laguerre polynomial expansions

In this paper we give a criterion to prove boundedness results for several operators from H1 ((0, ∞), γα) to L 1 ((0, ∞), γα) and also from L∞((0, ∞), γα) to BMO((0, ∞), γα), with respect to the probability measure dγα(x) = 2 Γ(α+1) x 2α+1e −x 2 dx on (0, ∞) when α > − 1 2 . We shall apply it to...

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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:11336/215813
Acceso en línea:http://hdl.handle.net/11336/215813
Access Level:acceso abierto
Palabra clave:HARDY SPACES
BMO SPACES
ENDPOINT ESTIMATES
LAGUERRE POLYNOMIALS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
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spelling Endpoint estimates for harmonic analysis operators associated with Laguerre polynomial expansionsBetancor, Jorge J.Dalmasso, Estefanía DafneQuijano, PabloScotto, RobertoHARDY SPACESBMO SPACESENDPOINT ESTIMATESLAGUERRE POLYNOMIALShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we give a criterion to prove boundedness results for several operators from H1 ((0, ∞), γα) to L 1 ((0, ∞), γα) and also from L∞((0, ∞), γα) to BMO((0, ∞), γα), with respect to the probability measure dγα(x) = 2 Γ(α+1) x 2α+1e −x 2 dx on (0, ∞) when α > − 1 2 . We shall apply it to establish endpoint estimates for Riesz transforms, maximal operators, Littlewood-Paley functions, multipliers of Laplace transform type, fractional integrals and variation operators in the Laguerre setting.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 University2022-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/215813Betancor, Jorge J.; Dalmasso, Estefanía Dafne; Quijano, Pablo; Scotto, Roberto; Endpoint estimates for harmonic analysis operators associated with Laguerre polynomial expansions; Cornell University; Arxiv; 2022; 10-2022; 1-222331-8422CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2210.14394info:eu-repo/semantics/altIdentifier/doi/10.48550/arXiv.2210.14394info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T13:34:48Zoai:ri.conicet.gov.ar:11336/215813instacron: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 13:34:48.538CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Endpoint estimates for harmonic analysis operators associated with Laguerre polynomial expansions
title Endpoint estimates for harmonic analysis operators associated with Laguerre polynomial expansions
spellingShingle Endpoint estimates for harmonic analysis operators associated with Laguerre polynomial expansions
Betancor, Jorge J.
HARDY SPACES
BMO SPACES
ENDPOINT ESTIMATES
LAGUERRE POLYNOMIALS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
title_short Endpoint estimates for harmonic analysis operators associated with Laguerre polynomial expansions
title_full Endpoint estimates for harmonic analysis operators associated with Laguerre polynomial expansions
title_fullStr Endpoint estimates for harmonic analysis operators associated with Laguerre polynomial expansions
title_full_unstemmed Endpoint estimates for harmonic analysis operators associated with Laguerre polynomial expansions
title_sort Endpoint estimates for harmonic analysis operators associated with 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
BMO SPACES
ENDPOINT ESTIMATES
LAGUERRE POLYNOMIALS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
topic HARDY SPACES
BMO SPACES
ENDPOINT ESTIMATES
LAGUERRE POLYNOMIALS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
description In this paper we give a criterion to prove boundedness results for several operators from H1 ((0, ∞), γα) to L 1 ((0, ∞), γα) and also from L∞((0, ∞), γα) to BMO((0, ∞), γα), with respect to the probability measure dγα(x) = 2 Γ(α+1) x 2α+1e −x 2 dx on (0, ∞) when α > − 1 2 . We shall apply it to establish endpoint estimates for Riesz transforms, maximal operators, Littlewood-Paley functions, multipliers of Laplace transform type, fractional integrals and variation operators in the Laguerre setting.
publishDate 2022
dc.date.none.fl_str_mv 2022-10
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/11336/215813
Betancor, Jorge J.; Dalmasso, Estefanía Dafne; Quijano, Pablo; Scotto, Roberto; Endpoint estimates for harmonic analysis operators associated with Laguerre polynomial expansions; Cornell University; Arxiv; 2022; 10-2022; 1-22
2331-8422
CONICET Digital
CONICET
url http://hdl.handle.net/11336/215813
identifier_str_mv Betancor, Jorge J.; Dalmasso, Estefanía Dafne; Quijano, Pablo; Scotto, Roberto; Endpoint estimates for harmonic analysis operators associated with Laguerre polynomial expansions; Cornell University; Arxiv; 2022; 10-2022; 1-22
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/2210.14394
info:eu-repo/semantics/altIdentifier/doi/10.48550/arXiv.2210.14394
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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