Mapping properties of fundamental operators in harmonic analysis related to Bessel operators

Autores
Betancor, Jorge J.; Harboure, Eleonor Ofelia; Nowak, Adam; Viviani, Beatriz Eleonora
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We obtain sharp power-weighted L p , weak type and restricted weak type inequalities for the heat and Poisson integral maximal operators, Riesz transform and a Littlewood-Paley type square function, emerging naturally in the harmonic analysis related to Bessel operators.
Fil: Betancor, Jorge J.. Universidad de La Laguna; España
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: Nowak, Adam. Wrocław University Of Science And Technology; Polonia
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
Bessel Operator
Heat-Diffusion Integral
Maximal Operator
Poisson Integral
Riesz Transform
Square Function
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:11336/75185
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/75185
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Mapping properties of fundamental operators in harmonic analysis related to Bessel operatorsBetancor, Jorge J.Harboure, Eleonor OfeliaNowak, AdamViviani, Beatriz EleonoraBessel OperatorHeat-Diffusion IntegralMaximal OperatorPoisson IntegralRiesz TransformSquare Functionhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We obtain sharp power-weighted L p , weak type and restricted weak type inequalities for the heat and Poisson integral maximal operators, Riesz transform and a Littlewood-Paley type square function, emerging naturally in the harmonic analysis related to Bessel operators.Fil: Betancor, Jorge J.. Universidad de La Laguna; EspañaFil: 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: Nowak, Adam. Wrocław University Of Science And Technology; PoloniaFil: 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; ArgentinaPolish Academy of Sciences. Institute of Mathematics2010-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/zipapplication/pdfhttp://hdl.handle.net/11336/75185Betancor, Jorge J.; Harboure, Eleonor Ofelia; Nowak, Adam; Viviani, Beatriz Eleonora; Mapping properties of fundamental operators in harmonic analysis related to Bessel operators; Polish Academy of Sciences. Institute of Mathematics; Studia Mathematica; 197; 2; 11-2010; 101-1400039-3223CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.4064/sm197-2-1info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-12T09:43:33Zoai:ri.conicet.gov.ar:11336/75185instacron: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:34982025-11-12 09:43:34.151CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Mapping properties of fundamental operators in harmonic analysis related to Bessel operators
title Mapping properties of fundamental operators in harmonic analysis related to Bessel operators
spellingShingle Mapping properties of fundamental operators in harmonic analysis related to Bessel operators
Betancor, Jorge J.
Bessel Operator
Heat-Diffusion Integral
Maximal Operator
Poisson Integral
Riesz Transform
Square Function
title_short Mapping properties of fundamental operators in harmonic analysis related to Bessel operators
title_full Mapping properties of fundamental operators in harmonic analysis related to Bessel operators
title_fullStr Mapping properties of fundamental operators in harmonic analysis related to Bessel operators
title_full_unstemmed Mapping properties of fundamental operators in harmonic analysis related to Bessel operators
title_sort Mapping properties of fundamental operators in harmonic analysis related to Bessel operators
dc.creator.none.fl_str_mv Betancor, Jorge J.
Harboure, Eleonor Ofelia
Nowak, Adam
Viviani, Beatriz Eleonora
author Betancor, Jorge J.
author_facet Betancor, Jorge J.
Harboure, Eleonor Ofelia
Nowak, Adam
Viviani, Beatriz Eleonora
author_role author
author2 Harboure, Eleonor Ofelia
Nowak, Adam
Viviani, Beatriz Eleonora
author2_role author
author
author
dc.subject.none.fl_str_mv Bessel Operator
Heat-Diffusion Integral
Maximal Operator
Poisson Integral
Riesz Transform
Square Function
topic Bessel Operator
Heat-Diffusion Integral
Maximal Operator
Poisson Integral
Riesz Transform
Square Function
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We obtain sharp power-weighted L p , weak type and restricted weak type inequalities for the heat and Poisson integral maximal operators, Riesz transform and a Littlewood-Paley type square function, emerging naturally in the harmonic analysis related to Bessel operators.
Fil: Betancor, Jorge J.. Universidad de La Laguna; España
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: Nowak, Adam. Wrocław University Of Science And Technology; Polonia
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 We obtain sharp power-weighted L p , weak type and restricted weak type inequalities for the heat and Poisson integral maximal operators, Riesz transform and a Littlewood-Paley type square function, emerging naturally in the harmonic analysis related to Bessel operators.
publishDate 2010
dc.date.none.fl_str_mv 2010-11
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/11336/75185
Betancor, Jorge J.; Harboure, Eleonor Ofelia; Nowak, Adam; Viviani, Beatriz Eleonora; Mapping properties of fundamental operators in harmonic analysis related to Bessel operators; Polish Academy of Sciences. Institute of Mathematics; Studia Mathematica; 197; 2; 11-2010; 101-140
0039-3223
CONICET Digital
CONICET
url http://hdl.handle.net/11336/75185
identifier_str_mv Betancor, Jorge J.; Harboure, Eleonor Ofelia; Nowak, Adam; Viviani, Beatriz Eleonora; Mapping properties of fundamental operators in harmonic analysis related to Bessel operators; Polish Academy of Sciences. Institute of Mathematics; Studia Mathematica; 197; 2; 11-2010; 101-140
0039-3223
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.4064/sm197-2-1
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/zip
application/pdf
dc.publisher.none.fl_str_mv Polish Academy of Sciences. Institute of Mathematics
publisher.none.fl_str_mv Polish Academy of Sciences. Institute of Mathematics
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
_version_ 1848597713650712576
score 13.24909

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