Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators

In this paper we prove that the generalized (in the sense of Caffarelli and Calderón) maximal operators associated with heat semigroups for Bessel and Laguerre operators are weak type $ (1,1)$. Our results include other known ones, and our proofs are simpler than the ones for the known special cases...

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Detalles Bibliográficos
Autores: Betancor, J. J., Castro, A. J., de Napoli, Pablo Luis, Fariña, J. C., Rodríguez Mesa, L.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/21014
Acceso en línea:http://hdl.handle.net/11336/21014
Access Level:acceso abierto
Palabra clave:Maximal Operators
Bessel
Laguerre
Heat Semigroups of Operators
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
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spelling Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operatorsBetancor, J. J.Castro, A. J.de Napoli, Pablo LuisFariña, J. C.Rodríguez Mesa, L.Maximal OperatorsBesselLaguerreHeat Semigroups of Operatorshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we prove that the generalized (in the sense of Caffarelli and Calderón) maximal operators associated with heat semigroups for Bessel and Laguerre operators are weak type $ (1,1)$. Our results include other known ones, and our proofs are simpler than the ones for the known special cases.Fil: Betancor, J. J..Fil: Castro, A. J..Fil: de Napoli, Pablo Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Fariña, J. C..Fil: Rodríguez Mesa, L..American Mathematical Society2014-01info: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/11336/21014Betancor, J. J.; Castro, A. J.; de Napoli, Pablo Luis; Fariña, J. C.; Rodríguez Mesa, L.; Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators; American Mathematical Society; Proceedings of the American Mathematical Society; 142; 1-2014; 251-2610002-9939CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1090/S0002-9939-2013-11950-7info:eu-repo/semantics/altIdentifier/url/http://www.ams.org/journals/proc/2014-142-01/S0002-9939-2013-11950-7/info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T14:20:25Zoai:ri.conicet.gov.ar:11336/21014instacron: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 14:20:25.552CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators
title Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators
spellingShingle Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators
Betancor, J. J.
Maximal Operators
Bessel
Laguerre
Heat Semigroups of Operators
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
title_short Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators
title_full Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators
title_fullStr Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators
title_full_unstemmed Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators
title_sort Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators
dc.creator.none.fl_str_mv Betancor, J. J.
Castro, A. J.
de Napoli, Pablo Luis
Fariña, J. C.
Rodríguez Mesa, L.
author Betancor, J. J.
author_facet Betancor, J. J.
Castro, A. J.
de Napoli, Pablo Luis
Fariña, J. C.
Rodríguez Mesa, L.
author_role author
author2 Castro, A. J.
de Napoli, Pablo Luis
Fariña, J. C.
Rodríguez Mesa, L.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Maximal Operators
Bessel
Laguerre
Heat Semigroups of Operators
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
topic Maximal Operators
Bessel
Laguerre
Heat Semigroups of Operators
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
description In this paper we prove that the generalized (in the sense of Caffarelli and Calderón) maximal operators associated with heat semigroups for Bessel and Laguerre operators are weak type $ (1,1)$. Our results include other known ones, and our proofs are simpler than the ones for the known special cases.
publishDate 2014
dc.date.none.fl_str_mv 2014-01
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/11336/21014
Betancor, J. J.; Castro, A. J.; de Napoli, Pablo Luis; Fariña, J. C.; Rodríguez Mesa, L.; Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators; American Mathematical Society; Proceedings of the American Mathematical Society; 142; 1-2014; 251-261
0002-9939
CONICET Digital
CONICET
url http://hdl.handle.net/11336/21014
identifier_str_mv Betancor, J. J.; Castro, A. J.; de Napoli, Pablo Luis; Fariña, J. C.; Rodríguez Mesa, L.; Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators; American Mathematical Society; Proceedings of the American Mathematical Society; 142; 1-2014; 251-261
0002-9939
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1090/S0002-9939-2013-11950-7
info:eu-repo/semantics/altIdentifier/url/http://www.ams.org/journals/proc/2014-142-01/S0002-9939-2013-11950-7/
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 American Mathematical Society
publisher.none.fl_str_mv American Mathematical Society
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 15.812429

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