Haar type bases in lorentz spaces via extrapolation

In this note we consider Haar type systems as unconditional bases for Lorentz spaces defined on spaces of homogeneous type. We also give characterizations of these spaces in terms of the Haar coefficients. The basic tools are the Rubio de Francia extrapolation technique and the characterization of w...

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Detalhes bibliográficos
Autor: Nowak, Luis Maria Ricardo
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2012
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/115102
Acesso em linha:http://hdl.handle.net/11336/115102
Access Level:acceso abierto
Palavra-chave:EXTRAPOLATION THEOREM
HAAR BASIS
UNCONDITIONAL BASIS
LORENTZ SPACES
SPACES OF HOMOGENEOUS TYPE
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
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network_name_str Argentina
repository_id_str
spelling Haar type bases in lorentz spaces via extrapolationNowak, Luis Maria RicardoEXTRAPOLATION THEOREMHAAR BASISUNCONDITIONAL BASISLORENTZ SPACESSPACES OF HOMOGENEOUS TYPEhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this note we consider Haar type systems as unconditional bases for Lorentz spaces defined on spaces of homogeneous type. We also give characterizations of these spaces in terms of the Haar coefficients. The basic tools are the Rubio de Francia extrapolation technique and the characterization of weighted Lebesgue spaces with Haar bases.Fil: Nowak, Luis Maria Ricardo. Universidad Nacional del Comahue. Facultad de Economía y Administración. Departamento de Matemática. Area Analisis Matematico; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaUnión Matemática Argentina2012-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/zipapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/115102Nowak, Luis Maria Ricardo; Haar type bases in lorentz spaces via extrapolation; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 53; 1; 6-2012; 71-830041-69321669-9637CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://inmabb.criba.edu.ar/revuma/pdf/v53n1/v53n1a08.pdfinfo:eu-repo/semantics/altIdentifier/url/https://inmabb.criba.edu.ar/revuma/revuma.php?p=toc/vol53info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T14:11:42Zoai:ri.conicet.gov.ar:11336/115102instacron: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:34982024-05-08 14:11:42.324CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Haar type bases in lorentz spaces via extrapolation
title Haar type bases in lorentz spaces via extrapolation
spellingShingle Haar type bases in lorentz spaces via extrapolation
Nowak, Luis Maria Ricardo
EXTRAPOLATION THEOREM
HAAR BASIS
UNCONDITIONAL BASIS
LORENTZ SPACES
SPACES OF HOMOGENEOUS TYPE
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
title_short Haar type bases in lorentz spaces via extrapolation
title_full Haar type bases in lorentz spaces via extrapolation
title_fullStr Haar type bases in lorentz spaces via extrapolation
title_full_unstemmed Haar type bases in lorentz spaces via extrapolation
title_sort Haar type bases in lorentz spaces via extrapolation
dc.creator.none.fl_str_mv Nowak, Luis Maria Ricardo
author Nowak, Luis Maria Ricardo
author_facet Nowak, Luis Maria Ricardo
author_role author
dc.subject.none.fl_str_mv EXTRAPOLATION THEOREM
HAAR BASIS
UNCONDITIONAL BASIS
LORENTZ SPACES
SPACES OF HOMOGENEOUS TYPE
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
topic EXTRAPOLATION THEOREM
HAAR BASIS
UNCONDITIONAL BASIS
LORENTZ SPACES
SPACES OF HOMOGENEOUS TYPE
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
description In this note we consider Haar type systems as unconditional bases for Lorentz spaces defined on spaces of homogeneous type. We also give characterizations of these spaces in terms of the Haar coefficients. The basic tools are the Rubio de Francia extrapolation technique and the characterization of weighted Lebesgue spaces with Haar bases.
publishDate 2012
dc.date.none.fl_str_mv 2012-06
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/11336/115102
Nowak, Luis Maria Ricardo; Haar type bases in lorentz spaces via extrapolation; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 53; 1; 6-2012; 71-83
0041-6932
1669-9637
CONICET Digital
CONICET
url http://hdl.handle.net/11336/115102
identifier_str_mv Nowak, Luis Maria Ricardo; Haar type bases in lorentz spaces via extrapolation; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 53; 1; 6-2012; 71-83
0041-6932
1669-9637
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://inmabb.criba.edu.ar/revuma/pdf/v53n1/v53n1a08.pdf
info:eu-repo/semantics/altIdentifier/url/https://inmabb.criba.edu.ar/revuma/revuma.php?p=toc/vol53
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/zip
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Unión Matemática Argentina
publisher.none.fl_str_mv Unión Matemática Argentina
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
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 15,811543

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