A boundedness criterion for general maximal operators

Autores
Lerner, Andrei k.; Ombrosi, Sheldy Javier
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider maximal operators MBMB with respect to a basis BB. In the case when MBMB satisfies a reversed weak type inequality, we obtain a boundedness criterion for MBMB on an arbitrary quasi-Banach function space XX. Being applied to specific BB and XX this criterion yields new and short proofs of a number of well-known results. Our principal application is related to an open problem on the boundedness of the two-dimensional one-sided maximal function M+M+ on LpwLwp.
Fil: Lerner, Andrei k.. Bar-Ilan University; Israel
Fil: Ombrosi, Sheldy Javier. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Bahía Blanca. Instituto de Matemática Bahía Blanca (i); Argentina
Materia
MAXIMAL OPERATORS
ONE SIDED MAXIMAL 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:11336/15454
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/15454
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A boundedness criterion for general maximal operatorsLerner, Andrei k.Ombrosi, Sheldy JavierMAXIMAL OPERATORSONE SIDED MAXIMAL FUNCTIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We consider maximal operators MBMB with respect to a basis BB. In the case when MBMB satisfies a reversed weak type inequality, we obtain a boundedness criterion for MBMB on an arbitrary quasi-Banach function space XX. Being applied to specific BB and XX this criterion yields new and short proofs of a number of well-known results. Our principal application is related to an open problem on the boundedness of the two-dimensional one-sided maximal function M+M+ on LpwLwp.Fil: Lerner, Andrei k.. Bar-Ilan University; IsraelFil: Ombrosi, Sheldy Javier. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Bahía Blanca. Instituto de Matemática Bahía Blanca (i); ArgentinaUniv Autonoma Barcelona2010-01info: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/11336/15454Lerner, Andrei k.; Ombrosi, Sheldy Javier; A boundedness criterion for general maximal operators; Univ Autonoma Barcelona; Publicacions Matematiques; 54; 1; 1-2010; 53-710214-14932014-4350enginfo:eu-repo/semantics/altIdentifier/doi/10.5565/PUBLMAT_54110_03info:eu-repo/semantics/altIdentifier/url/http://www.raco.cat/index.php/PublicacionsMatematiques/article/view/10.5565-PUBLMAT_54110_03info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-12T09:33:32Zoai:ri.conicet.gov.ar:11336/15454instacron: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 09:33:32.595CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A boundedness criterion for general maximal operators
title A boundedness criterion for general maximal operators
spellingShingle A boundedness criterion for general maximal operators
Lerner, Andrei k.
MAXIMAL OPERATORS
ONE SIDED MAXIMAL FUNCTION
title_short A boundedness criterion for general maximal operators
title_full A boundedness criterion for general maximal operators
title_fullStr A boundedness criterion for general maximal operators
title_full_unstemmed A boundedness criterion for general maximal operators
title_sort A boundedness criterion for general maximal operators
dc.creator.none.fl_str_mv Lerner, Andrei k.
Ombrosi, Sheldy Javier
author Lerner, Andrei k.
author_facet Lerner, Andrei k.
Ombrosi, Sheldy Javier
author_role author
author2 Ombrosi, Sheldy Javier
author2_role author
dc.subject.none.fl_str_mv MAXIMAL OPERATORS
ONE SIDED MAXIMAL FUNCTION
topic MAXIMAL OPERATORS
ONE SIDED MAXIMAL 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 consider maximal operators MBMB with respect to a basis BB. In the case when MBMB satisfies a reversed weak type inequality, we obtain a boundedness criterion for MBMB on an arbitrary quasi-Banach function space XX. Being applied to specific BB and XX this criterion yields new and short proofs of a number of well-known results. Our principal application is related to an open problem on the boundedness of the two-dimensional one-sided maximal function M+M+ on LpwLwp.
Fil: Lerner, Andrei k.. Bar-Ilan University; Israel
Fil: Ombrosi, Sheldy Javier. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Bahía Blanca. Instituto de Matemática Bahía Blanca (i); Argentina
description We consider maximal operators MBMB with respect to a basis BB. In the case when MBMB satisfies a reversed weak type inequality, we obtain a boundedness criterion for MBMB on an arbitrary quasi-Banach function space XX. Being applied to specific BB and XX this criterion yields new and short proofs of a number of well-known results. Our principal application is related to an open problem on the boundedness of the two-dimensional one-sided maximal function M+M+ on LpwLwp.
publishDate 2010
dc.date.none.fl_str_mv 2010-01
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/11336/15454
Lerner, Andrei k.; Ombrosi, Sheldy Javier; A boundedness criterion for general maximal operators; Univ Autonoma Barcelona; Publicacions Matematiques; 54; 1; 1-2010; 53-71
0214-1493
2014-4350
url http://hdl.handle.net/11336/15454
identifier_str_mv Lerner, Andrei k.; Ombrosi, Sheldy Javier; A boundedness criterion for general maximal operators; Univ Autonoma Barcelona; Publicacions Matematiques; 54; 1; 1-2010; 53-71
0214-1493
2014-4350
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.5565/PUBLMAT_54110_03
info:eu-repo/semantics/altIdentifier/url/http://www.raco.cat/index.php/PublicacionsMatematiques/article/view/10.5565-PUBLMAT_54110_03
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 Univ Autonoma Barcelona
publisher.none.fl_str_mv Univ Autonoma Barcelona
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 12.6313505

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