On approximation of maximal operators

Autores
Aimar, Hugo Alejandro; Carena, Marilina; Iaffei, Bibiana Raquel
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We prove that the weak type (1, 1) boundedness of the maximal of a sequence of integral operators on a metric measure space X follows from the uniform weak type on Dirac deltas of the restriction of the operators to a sequence of approximations of X.
Fil: Aimar, Hugo Alejandro. 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: Carena, Marilina. Universidad Nacional del Litoral; Argentina
Fil: Iaffei, Bibiana Raquel. Universidad Nacional del Litoral; Argentina
Materia
Doubling Measure
Maximal Operator
Weak Type (1,1)
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:11336/84087

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spelling On approximation of maximal operatorsAimar, Hugo AlejandroCarena, MarilinaIaffei, Bibiana RaquelDoubling MeasureMaximal OperatorWeak Type (1,1)https://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We prove that the weak type (1, 1) boundedness of the maximal of a sequence of integral operators on a metric measure space X follows from the uniform weak type on Dirac deltas of the restriction of the operators to a sequence of approximations of X.Fil: Aimar, Hugo Alejandro. 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: Carena, Marilina. Universidad Nacional del Litoral; ArgentinaFil: Iaffei, Bibiana Raquel. Universidad Nacional del Litoral; ArgentinaKossuth Lajos Tudomanyegyetem2010-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/84087Aimar, Hugo Alejandro; Carena, Marilina; Iaffei, Bibiana Raquel; On approximation of maximal operators; Kossuth Lajos Tudomanyegyetem; Publicationes Mathematicae-debrecen; 77; 12-2010; 87-990033-3883CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.math.klte.hu/publi/contents.php?szam=77info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:22:12Zoai:ri.conicet.gov.ar:11336/84087instacron: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:34982025-09-10 13:22:12.357CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On approximation of maximal operators
title On approximation of maximal operators
spellingShingle On approximation of maximal operators
Aimar, Hugo Alejandro
Doubling Measure
Maximal Operator
Weak Type (1,1)
title_short On approximation of maximal operators
title_full On approximation of maximal operators
title_fullStr On approximation of maximal operators
title_full_unstemmed On approximation of maximal operators
title_sort On approximation of maximal operators
dc.creator.none.fl_str_mv Aimar, Hugo Alejandro
Carena, Marilina
Iaffei, Bibiana Raquel
author Aimar, Hugo Alejandro
author_facet Aimar, Hugo Alejandro
Carena, Marilina
Iaffei, Bibiana Raquel
author_role author
author2 Carena, Marilina
Iaffei, Bibiana Raquel
author2_role author
author
dc.subject.none.fl_str_mv Doubling Measure
Maximal Operator
Weak Type (1,1)
topic Doubling Measure
Maximal Operator
Weak Type (1,1)
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 prove that the weak type (1, 1) boundedness of the maximal of a sequence of integral operators on a metric measure space X follows from the uniform weak type on Dirac deltas of the restriction of the operators to a sequence of approximations of X.
Fil: Aimar, Hugo Alejandro. 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: Carena, Marilina. Universidad Nacional del Litoral; Argentina
Fil: Iaffei, Bibiana Raquel. Universidad Nacional del Litoral; Argentina
description We prove that the weak type (1, 1) boundedness of the maximal of a sequence of integral operators on a metric measure space X follows from the uniform weak type on Dirac deltas of the restriction of the operators to a sequence of approximations of X.
publishDate 2010
dc.date.none.fl_str_mv 2010-12
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/11336/84087
Aimar, Hugo Alejandro; Carena, Marilina; Iaffei, Bibiana Raquel; On approximation of maximal operators; Kossuth Lajos Tudomanyegyetem; Publicationes Mathematicae-debrecen; 77; 12-2010; 87-99
0033-3883
CONICET Digital
CONICET
url http://hdl.handle.net/11336/84087
identifier_str_mv Aimar, Hugo Alejandro; Carena, Marilina; Iaffei, Bibiana Raquel; On approximation of maximal operators; Kossuth Lajos Tudomanyegyetem; Publicationes Mathematicae-debrecen; 77; 12-2010; 87-99
0033-3883
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.math.klte.hu/publi/contents.php?szam=77
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
application/pdf
dc.publisher.none.fl_str_mv Kossuth Lajos Tudomanyegyetem
publisher.none.fl_str_mv Kossuth Lajos Tudomanyegyetem
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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