Weigthed Hardy's inequalities and Hardy transforms of weights

Many problems in analysis are described as weigthed norm inequalities thet have given rise to different classes of weights, such asAp- weights of Mukenhoupt, Bp-weights of Ario and Mukenhoupt, ect. Our purpose is to show that different classes of weigths are relaterd by mean of composition with clas...

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Detalles Bibliográficos
Autores: Martín i Pedret, Joaquim|||0000-0002-7467-787X, Cerdà Martín, Joan Lluís
Tipo de recurso: artículo
Fecha de publicación:2000
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:272286
Acceso en línea:https://ddd.uab.cat/record/272286
https://dx.doi.org/urn:doi:10.4064/sm-139-2-189-196
Access Level:acceso abierto
Palabra clave:Hardy's inequalities
Hardy transform
Weights
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spelling Weigthed Hardy's inequalities and Hardy transforms of weightsMartín i Pedret, Joaquim|||0000-0002-7467-787XCerdà Martín, Joan LluísHardy's inequalitiesHardy transformWeightsMany problems in analysis are described as weigthed norm inequalities thet have given rise to different classes of weights, such asAp- weights of Mukenhoupt, Bp-weights of Ario and Mukenhoupt, ect. Our purpose is to show that different classes of weigths are relaterd by mean of composition with classical transforms. Typical exemples are Ap-weights as indefinite integrals of Bp-1-weights, and Mp-weights (for which Hardy transform is bounded) as Hardy transforms of Bp- weights. We pay special atention to monotonic weights. 22000-01-0120002000-01-01Articlehttp://purl.org/coar/resource_type/c_6501SMURhttp://purl.org/coar/version/c_71e4c1898caa6e32info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/272286https://dx.doi.org/urn:doi:10.4064/sm-139-2-189-196reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Ciencia y Tecnología https://doi.org/10.13039/501100006280 PB97-0986Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 1999/SGR-00061open accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2722862026-06-06T12:50:31Z
dc.title.none.fl_str_mv Weigthed Hardy's inequalities and Hardy transforms of weights
title Weigthed Hardy's inequalities and Hardy transforms of weights
spellingShingle Weigthed Hardy's inequalities and Hardy transforms of weights
Martín i Pedret, Joaquim|||0000-0002-7467-787X
Hardy's inequalities
Hardy transform
Weights
title_short Weigthed Hardy's inequalities and Hardy transforms of weights
title_full Weigthed Hardy's inequalities and Hardy transforms of weights
title_fullStr Weigthed Hardy's inequalities and Hardy transforms of weights
title_full_unstemmed Weigthed Hardy's inequalities and Hardy transforms of weights
title_sort Weigthed Hardy's inequalities and Hardy transforms of weights
dc.creator.none.fl_str_mv Martín i Pedret, Joaquim|||0000-0002-7467-787X
Cerdà Martín, Joan Lluís
author Martín i Pedret, Joaquim|||0000-0002-7467-787X
author_facet Martín i Pedret, Joaquim|||0000-0002-7467-787X
Cerdà Martín, Joan Lluís
author_role author
author2 Cerdà Martín, Joan Lluís
author2_role author
dc.subject.none.fl_str_mv Hardy's inequalities
Hardy transform
Weights
topic Hardy's inequalities
Hardy transform
Weights
description Many problems in analysis are described as weigthed norm inequalities thet have given rise to different classes of weights, such asAp- weights of Mukenhoupt, Bp-weights of Ario and Mukenhoupt, ect. Our purpose is to show that different classes of weigths are relaterd by mean of composition with classical transforms. Typical exemples are Ap-weights as indefinite integrals of Bp-1-weights, and Mp-weights (for which Hardy transform is bounded) as Hardy transforms of Bp- weights. We pay special atention to monotonic weights.
publishDate 2000
dc.date.none.fl_str_mv 2
2000-01-01
2000
2000-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
SMUR
http://purl.org/coar/version/c_71e4c1898caa6e32
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/272286
https://dx.doi.org/urn:doi:10.4064/sm-139-2-189-196
url https://ddd.uab.cat/record/272286
https://dx.doi.org/urn:doi:10.4064/sm-139-2-189-196
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia y Tecnología https://doi.org/10.13039/501100006280 PB97-0986
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 1999/SGR-00061
dc.rights.none.fl_str_mv open access
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dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
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eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
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