Mixed weak type inequalities for one-sided operators

Autores
Martín Reyes, Francisco Javier; Ombrosi, Sheldy Javier
Año de publicación
2009
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We discuss mixed weak type inequalities in weighted spaces for one-sided operators. In particular, we prove that if Tc f(x) = (x - c)-1 f x c f(y) dy, x > c, is the Hardy averaging operator, u ∈ A- 1 (one-sided Muckenhoupt A1 class), and v ∈ A- 1 (another one-sided Muckenhoupt A1 class), then there exists a constant C such that supc∈ ∫x:Tcf(x) > v(x)uv ≤ C ∫fu.
Fil: Martín Reyes, Francisco Javier. Universidad de Málaga; España
Fil: Ombrosi, Sheldy Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Materia
Hardy Operator
Mixed Inequeality
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:11336/79546
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Mixed weak type inequalities for one-sided operatorsMartín Reyes, Francisco JavierOmbrosi, Sheldy JavierHardy OperatorMixed Inequealityhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We discuss mixed weak type inequalities in weighted spaces for one-sided operators. In particular, we prove that if Tc f(x) = (x - c)-1 f x c f(y) dy, x > c, is the Hardy averaging operator, u ∈ A- 1 (one-sided Muckenhoupt A1 class), and v ∈ A- 1 (another one-sided Muckenhoupt A1 class), then there exists a constant C such that supc∈ ∫x:Tcf(x) > v(x)uv ≤ C ∫fu.Fil: Martín Reyes, Francisco Javier. Universidad de Málaga; EspañaFil: Ombrosi, Sheldy Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaOxford University Press2009-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/79546Martín Reyes, Francisco Javier; Ombrosi, Sheldy Javier; Mixed weak type inequalities for one-sided operators; Oxford University Press; Quarterly Journal Of Mathematics; 60; 1; 3-2009; 63-730033-5606CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.criba.edu.ar/sheldy/papers/MO1.pdfinfo:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/qjmath/article-abstract/60/1/63/1600633?redirectedFrom=fulltextinfo:eu-repo/semantics/altIdentifier/doi/10.1093/qmath/han009info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:06:21Zoai:ri.conicet.gov.ar:11336/79546instacron: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 10:06:22.085CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Mixed weak type inequalities for one-sided operators
title Mixed weak type inequalities for one-sided operators
spellingShingle Mixed weak type inequalities for one-sided operators
Martín Reyes, Francisco Javier
Hardy Operator
Mixed Inequeality
title_short Mixed weak type inequalities for one-sided operators
title_full Mixed weak type inequalities for one-sided operators
title_fullStr Mixed weak type inequalities for one-sided operators
title_full_unstemmed Mixed weak type inequalities for one-sided operators
title_sort Mixed weak type inequalities for one-sided operators
dc.creator.none.fl_str_mv Martín Reyes, Francisco Javier
Ombrosi, Sheldy Javier
author Martín Reyes, Francisco Javier
author_facet Martín Reyes, Francisco Javier
Ombrosi, Sheldy Javier
author_role author
author2 Ombrosi, Sheldy Javier
author2_role author
dc.subject.none.fl_str_mv Hardy Operator
Mixed Inequeality
topic Hardy Operator
Mixed Inequeality
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 discuss mixed weak type inequalities in weighted spaces for one-sided operators. In particular, we prove that if Tc f(x) = (x - c)-1 f x c f(y) dy, x > c, is the Hardy averaging operator, u ∈ A- 1 (one-sided Muckenhoupt A1 class), and v ∈ A- 1 (another one-sided Muckenhoupt A1 class), then there exists a constant C such that supc∈ ∫x:Tcf(x) > v(x)uv ≤ C ∫fu.
Fil: Martín Reyes, Francisco Javier. Universidad de Málaga; España
Fil: Ombrosi, Sheldy Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
description We discuss mixed weak type inequalities in weighted spaces for one-sided operators. In particular, we prove that if Tc f(x) = (x - c)-1 f x c f(y) dy, x > c, is the Hardy averaging operator, u ∈ A- 1 (one-sided Muckenhoupt A1 class), and v ∈ A- 1 (another one-sided Muckenhoupt A1 class), then there exists a constant C such that supc∈ ∫x:Tcf(x) > v(x)uv ≤ C ∫fu.
publishDate 2009
dc.date.none.fl_str_mv 2009-03
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/11336/79546
Martín Reyes, Francisco Javier; Ombrosi, Sheldy Javier; Mixed weak type inequalities for one-sided operators; Oxford University Press; Quarterly Journal Of Mathematics; 60; 1; 3-2009; 63-73
0033-5606
CONICET Digital
CONICET
url http://hdl.handle.net/11336/79546
identifier_str_mv Martín Reyes, Francisco Javier; Ombrosi, Sheldy Javier; Mixed weak type inequalities for one-sided operators; Oxford University Press; Quarterly Journal Of Mathematics; 60; 1; 3-2009; 63-73
0033-5606
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.criba.edu.ar/sheldy/papers/MO1.pdf
info:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/qjmath/article-abstract/60/1/63/1600633?redirectedFrom=fulltext
info:eu-repo/semantics/altIdentifier/doi/10.1093/qmath/han009
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 Oxford University Press
publisher.none.fl_str_mv Oxford University Press
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 13.070432

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