Power weighted Lp-inequalities for Laguerre–Riesz transforms

Autores
Harboure, Eleonor Ofelia; Segovia Fernandez, Carlos; Torrea Hernández, José Luis; Viviani, Beatriz Eleonora
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we give a complete description of the power weighted inequalities, of strong, weak and restricted weak type for the pair of Riesz transforms associated with the Laguerre function system {Lk α}, for any given α>-1. We achieve these results by a careful estimate of the kernels: near the diagonal we show that they are local Calderón-Zygmund operators while in the complement they are majorized by Hardy type operators and the maximal heat-diffusion operator. We also show that in all the cases our results are sharp.
Fil: Harboure, Eleonor Ofelia. 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; Argentina
Fil: Segovia Fernandez, Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
Fil: Torrea Hernández, José Luis. Universidad Autónoma de Madrid; España
Fil: Viviani, Beatriz Eleonora. 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; Argentina
Materia
Power Weighted
Laguerre Functions Systems
Riesz Transforms
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/84275
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Power weighted Lp-inequalities for Laguerre–Riesz transformsHarboure, Eleonor OfeliaSegovia Fernandez, CarlosTorrea Hernández, José LuisViviani, Beatriz EleonoraPower WeightedLaguerre Functions SystemsRiesz Transformshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we give a complete description of the power weighted inequalities, of strong, weak and restricted weak type for the pair of Riesz transforms associated with the Laguerre function system {Lk α}, for any given α>-1. We achieve these results by a careful estimate of the kernels: near the diagonal we show that they are local Calderón-Zygmund operators while in the complement they are majorized by Hardy type operators and the maximal heat-diffusion operator. We also show that in all the cases our results are sharp.Fil: Harboure, Eleonor Ofelia. 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: Segovia Fernandez, Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaFil: Torrea Hernández, José Luis. Universidad Autónoma de Madrid; EspañaFil: Viviani, Beatriz Eleonora. 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; ArgentinaInstitut Mittag-Leffler2008-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/84275Harboure, Eleonor Ofelia; Segovia Fernandez, Carlos; Torrea Hernández, José Luis; Viviani, Beatriz Eleonora; Power weighted Lp-inequalities for Laguerre–Riesz transforms; Institut Mittag-Leffler; Arkiv For Matematik; 46; 2; 10-2008; 285-3130004-2080CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://projecteuclid.org/journals/arkiv-for-matematik/volume-46/issue-2/Power-weighted-Lp-inequalities-for-LaguerreRiesz-transforms/10.1007/s11512-007-0052-y.fullinfo:eu-repo/semantics/altIdentifier/doi/10.1007/s11512-007-0052-yinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:49:33Zoai:ri.conicet.gov.ar:11336/84275instacron: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:34982025-09-29 09:49:33.412CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Power weighted Lp-inequalities for Laguerre–Riesz transforms
title Power weighted Lp-inequalities for Laguerre–Riesz transforms
spellingShingle Power weighted Lp-inequalities for Laguerre–Riesz transforms
Harboure, Eleonor Ofelia
Power Weighted
Laguerre Functions Systems
Riesz Transforms
title_short Power weighted Lp-inequalities for Laguerre–Riesz transforms
title_full Power weighted Lp-inequalities for Laguerre–Riesz transforms
title_fullStr Power weighted Lp-inequalities for Laguerre–Riesz transforms
title_full_unstemmed Power weighted Lp-inequalities for Laguerre–Riesz transforms
title_sort Power weighted Lp-inequalities for Laguerre–Riesz transforms
dc.creator.none.fl_str_mv Harboure, Eleonor Ofelia
Segovia Fernandez, Carlos
Torrea Hernández, José Luis
Viviani, Beatriz Eleonora
author Harboure, Eleonor Ofelia
author_facet Harboure, Eleonor Ofelia
Segovia Fernandez, Carlos
Torrea Hernández, José Luis
Viviani, Beatriz Eleonora
author_role author
author2 Segovia Fernandez, Carlos
Torrea Hernández, José Luis
Viviani, Beatriz Eleonora
author2_role author
author
author
dc.subject.none.fl_str_mv Power Weighted
Laguerre Functions Systems
Riesz Transforms
topic Power Weighted
Laguerre Functions Systems
Riesz Transforms
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper we give a complete description of the power weighted inequalities, of strong, weak and restricted weak type for the pair of Riesz transforms associated with the Laguerre function system {Lk α}, for any given α>-1. We achieve these results by a careful estimate of the kernels: near the diagonal we show that they are local Calderón-Zygmund operators while in the complement they are majorized by Hardy type operators and the maximal heat-diffusion operator. We also show that in all the cases our results are sharp.
Fil: Harboure, Eleonor Ofelia. 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; Argentina
Fil: Segovia Fernandez, Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
Fil: Torrea Hernández, José Luis. Universidad Autónoma de Madrid; España
Fil: Viviani, Beatriz Eleonora. 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; Argentina
description In this paper we give a complete description of the power weighted inequalities, of strong, weak and restricted weak type for the pair of Riesz transforms associated with the Laguerre function system {Lk α}, for any given α>-1. We achieve these results by a careful estimate of the kernels: near the diagonal we show that they are local Calderón-Zygmund operators while in the complement they are majorized by Hardy type operators and the maximal heat-diffusion operator. We also show that in all the cases our results are sharp.
publishDate 2008
dc.date.none.fl_str_mv 2008-10
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/11336/84275
Harboure, Eleonor Ofelia; Segovia Fernandez, Carlos; Torrea Hernández, José Luis; Viviani, Beatriz Eleonora; Power weighted Lp-inequalities for Laguerre–Riesz transforms; Institut Mittag-Leffler; Arkiv For Matematik; 46; 2; 10-2008; 285-313
0004-2080
CONICET Digital
CONICET
url http://hdl.handle.net/11336/84275
identifier_str_mv Harboure, Eleonor Ofelia; Segovia Fernandez, Carlos; Torrea Hernández, José Luis; Viviani, Beatriz Eleonora; Power weighted Lp-inequalities for Laguerre–Riesz transforms; Institut Mittag-Leffler; Arkiv For Matematik; 46; 2; 10-2008; 285-313
0004-2080
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://projecteuclid.org/journals/arkiv-for-matematik/volume-46/issue-2/Power-weighted-Lp-inequalities-for-LaguerreRiesz-transforms/10.1007/s11512-007-0052-y.full
info:eu-repo/semantics/altIdentifier/doi/10.1007/s11512-007-0052-y
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Institut Mittag-Leffler
publisher.none.fl_str_mv Institut Mittag-Leffler
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
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 13.070432

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