Two weighted inequalities for maximal functions related to Cesàro convergence

Autores
Bernardis, Ana Lucia; Martín Reyes, Francisco Javier
Año de publicación
2003
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We characterize the pairs of weights (u, v) for which the maximal operator Mα- f (x) = supR>0 R-1-α ∫x-Rx-2R |f (s)|(x - R - s)α ds, -1 <α < 0, is of weak and restricted weak type (p, p) with respect to u(x) dx and v(x) dx. As a consequence we obtain analogous results for Mαf (x) = supR>0 R-1-α ∫R<|x-y|<2R |f(y)|(|x - y| -R)α dy. We apply the results to the study of the Cesàro-α convergence of singular integrals.
Fil: Bernardis, Ana Lucia. 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: Martín Reyes, Francisco Javier. Universidad de Málaga; España
Materia
Two weighted inequalities
Cesàro convergence
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:11336/100612
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/100612
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Two weighted inequalities for maximal functions related to Cesàro convergenceBernardis, Ana LuciaMartín Reyes, Francisco JavierTwo weighted inequalitiesCesàro convergencehttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We characterize the pairs of weights (u, v) for which the maximal operator Mα- f (x) = supR>0 R-1-α ∫x-Rx-2R |f (s)|(x - R - s)α ds, -1 <α < 0, is of weak and restricted weak type (p, p) with respect to u(x) dx and v(x) dx. As a consequence we obtain analogous results for Mαf (x) = supR>0 R-1-α ∫R<|x-y|<2R |f(y)|(|x - y| -R)α dy. We apply the results to the study of the Cesàro-α convergence of singular integrals.Fil: Bernardis, Ana Lucia. 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: Martín Reyes, Francisco Javier. Universidad de Málaga; EspañaAustralian Mathematical Society2003-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/100612Bernardis, Ana Lucia; Martín Reyes, Francisco Javier; Two weighted inequalities for maximal functions related to Cesàro convergence; Australian Mathematical Society; Journal Of The Australian Mathematical Society; 74; 12-2003; 111-1201446-7887CONICET DigitalCONICETenginfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:53:27Zoai:ri.conicet.gov.ar:11336/100612instacron: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 09:53:27.982CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Two weighted inequalities for maximal functions related to Cesàro convergence
title Two weighted inequalities for maximal functions related to Cesàro convergence
spellingShingle Two weighted inequalities for maximal functions related to Cesàro convergence
Bernardis, Ana Lucia
Two weighted inequalities
Cesàro convergence
title_short Two weighted inequalities for maximal functions related to Cesàro convergence
title_full Two weighted inequalities for maximal functions related to Cesàro convergence
title_fullStr Two weighted inequalities for maximal functions related to Cesàro convergence
title_full_unstemmed Two weighted inequalities for maximal functions related to Cesàro convergence
title_sort Two weighted inequalities for maximal functions related to Cesàro convergence
dc.creator.none.fl_str_mv Bernardis, Ana Lucia
Martín Reyes, Francisco Javier
author Bernardis, Ana Lucia
author_facet Bernardis, Ana Lucia
Martín Reyes, Francisco Javier
author_role author
author2 Martín Reyes, Francisco Javier
author2_role author
dc.subject.none.fl_str_mv Two weighted inequalities
Cesàro convergence
topic Two weighted inequalities
Cesàro convergence
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 characterize the pairs of weights (u, v) for which the maximal operator Mα- f (x) = supR>0 R-1-α ∫x-Rx-2R |f (s)|(x - R - s)α ds, -1 <α < 0, is of weak and restricted weak type (p, p) with respect to u(x) dx and v(x) dx. As a consequence we obtain analogous results for Mαf (x) = supR>0 R-1-α ∫R<|x-y|<2R |f(y)|(|x - y| -R)α dy. We apply the results to the study of the Cesàro-α convergence of singular integrals.
Fil: Bernardis, Ana Lucia. 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: Martín Reyes, Francisco Javier. Universidad de Málaga; España
description We characterize the pairs of weights (u, v) for which the maximal operator Mα- f (x) = supR>0 R-1-α ∫x-Rx-2R |f (s)|(x - R - s)α ds, -1 <α < 0, is of weak and restricted weak type (p, p) with respect to u(x) dx and v(x) dx. As a consequence we obtain analogous results for Mαf (x) = supR>0 R-1-α ∫R<|x-y|<2R |f(y)|(|x - y| -R)α dy. We apply the results to the study of the Cesàro-α convergence of singular integrals.
publishDate 2003
dc.date.none.fl_str_mv 2003-12
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/11336/100612
Bernardis, Ana Lucia; Martín Reyes, Francisco Javier; Two weighted inequalities for maximal functions related to Cesàro convergence; Australian Mathematical Society; Journal Of The Australian Mathematical Society; 74; 12-2003; 111-120
1446-7887
CONICET Digital
CONICET
url http://hdl.handle.net/11336/100612
identifier_str_mv Bernardis, Ana Lucia; Martín Reyes, Francisco Javier; Two weighted inequalities for maximal functions related to Cesàro convergence; Australian Mathematical Society; Journal Of The Australian Mathematical Society; 74; 12-2003; 111-120
1446-7887
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
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
dc.publisher.none.fl_str_mv Australian Mathematical Society
publisher.none.fl_str_mv Australian Mathematical Society
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_ 1844613632644612096
score 13.070432

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