Muckenhoupt weights with singularities on closed lower dimensional sets in spaces of homogeneous type

Autores
Aimar, Hugo Alejandro; Carena, Marilina; Toschi, Marisa
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We give sufficient conditions on a real number β and on a closed set F in a general space of homogeneous type (X,d,μ)(X,d,μ) in such a way that μ(B(x,d(x,F)))βμ(B(x,d(x,F)))β becomes a Muckenhoupt weight. In order to prove our result, we modify the underlying space so that it becomes 1-Ahlfors regular.
Fil: Aimar, Hugo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Matemática Aplicada "Litoral"; Argentina
Fil: Carena, Marilina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Matemática Aplicada "Litoral"; Argentina
Fil: Toschi, Marisa. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Matemática Aplicada "Litoral"; Argentina
Materia
Muckenhoupt Weights
Spaces of Homogeneous Type
Ahlfors Spaces
Hardy-Littlewood Maximal Operator
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/9680
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/9680
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Muckenhoupt weights with singularities on closed lower dimensional sets in spaces of homogeneous typeAimar, Hugo AlejandroCarena, MarilinaToschi, MarisaMuckenhoupt WeightsSpaces of Homogeneous TypeAhlfors SpacesHardy-Littlewood Maximal Operatorhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We give sufficient conditions on a real number β and on a closed set F in a general space of homogeneous type (X,d,μ)(X,d,μ) in such a way that μ(B(x,d(x,F)))βμ(B(x,d(x,F)))β becomes a Muckenhoupt weight. In order to prove our result, we modify the underlying space so that it becomes 1-Ahlfors regular.Fil: Aimar, Hugo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Matemática Aplicada "Litoral"; ArgentinaFil: Carena, Marilina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Matemática Aplicada "Litoral"; ArgentinaFil: Toschi, Marisa. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Matemática Aplicada "Litoral"; ArgentinaElsevier2014-08info: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/11336/9680Aimar, Hugo Alejandro; Carena, Marilina; Toschi, Marisa; Muckenhoupt weights with singularities on closed lower dimensional sets in spaces of homogeneous type; Elsevier; Journal Of Mathematical Analysis And Applications; 416; 1; 8-2014; 112-1250022-247Xenginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0022247X14001528info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2014.02.023info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:43:30Zoai:ri.conicet.gov.ar:11336/9680instacron: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:34982025-09-03 09:43:30.446CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Muckenhoupt weights with singularities on closed lower dimensional sets in spaces of homogeneous type
title Muckenhoupt weights with singularities on closed lower dimensional sets in spaces of homogeneous type
spellingShingle Muckenhoupt weights with singularities on closed lower dimensional sets in spaces of homogeneous type
Aimar, Hugo Alejandro
Muckenhoupt Weights
Spaces of Homogeneous Type
Ahlfors Spaces
Hardy-Littlewood Maximal Operator
title_short Muckenhoupt weights with singularities on closed lower dimensional sets in spaces of homogeneous type
title_full Muckenhoupt weights with singularities on closed lower dimensional sets in spaces of homogeneous type
title_fullStr Muckenhoupt weights with singularities on closed lower dimensional sets in spaces of homogeneous type
title_full_unstemmed Muckenhoupt weights with singularities on closed lower dimensional sets in spaces of homogeneous type
title_sort Muckenhoupt weights with singularities on closed lower dimensional sets in spaces of homogeneous type
dc.creator.none.fl_str_mv Aimar, Hugo Alejandro
Carena, Marilina
Toschi, Marisa
author Aimar, Hugo Alejandro
author_facet Aimar, Hugo Alejandro
Carena, Marilina
Toschi, Marisa
author_role author
author2 Carena, Marilina
Toschi, Marisa
author2_role author
author
dc.subject.none.fl_str_mv Muckenhoupt Weights
Spaces of Homogeneous Type
Ahlfors Spaces
Hardy-Littlewood Maximal Operator
topic Muckenhoupt Weights
Spaces of Homogeneous Type
Ahlfors Spaces
Hardy-Littlewood Maximal Operator
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 give sufficient conditions on a real number β and on a closed set F in a general space of homogeneous type (X,d,μ)(X,d,μ) in such a way that μ(B(x,d(x,F)))βμ(B(x,d(x,F)))β becomes a Muckenhoupt weight. In order to prove our result, we modify the underlying space so that it becomes 1-Ahlfors regular.
Fil: Aimar, Hugo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Matemática Aplicada "Litoral"; Argentina
Fil: Carena, Marilina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Matemática Aplicada "Litoral"; Argentina
Fil: Toschi, Marisa. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Matemática Aplicada "Litoral"; Argentina
description We give sufficient conditions on a real number β and on a closed set F in a general space of homogeneous type (X,d,μ)(X,d,μ) in such a way that μ(B(x,d(x,F)))βμ(B(x,d(x,F)))β becomes a Muckenhoupt weight. In order to prove our result, we modify the underlying space so that it becomes 1-Ahlfors regular.
publishDate 2014
dc.date.none.fl_str_mv 2014-08
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/11336/9680
Aimar, Hugo Alejandro; Carena, Marilina; Toschi, Marisa; Muckenhoupt weights with singularities on closed lower dimensional sets in spaces of homogeneous type; Elsevier; Journal Of Mathematical Analysis And Applications; 416; 1; 8-2014; 112-125
0022-247X
url http://hdl.handle.net/11336/9680
identifier_str_mv Aimar, Hugo Alejandro; Carena, Marilina; Toschi, Marisa; Muckenhoupt weights with singularities on closed lower dimensional sets in spaces of homogeneous type; Elsevier; Journal Of Mathematical Analysis And Applications; 416; 1; 8-2014; 112-125
0022-247X
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0022247X14001528
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2014.02.023
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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_ 1842268605899603968
score 13.13397

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