A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa

A new class of metric measure spaces is introduced and studied. This class generalises the well-established doubling metric measure spaces as well as the spaces (Rn, μ) with μ(B(α, r)) ≤ Crd, in which non-doubling harmonic analysis has recently been developed. It seems to be a promising framework fo...

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Detalles Bibliográficos
Autor: Hytönen, Tuomas|||0000-0003-2911-2391
Tipo de recurso: artículo
Fecha de publicación:2010
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:57607
Acceso en línea:https://ddd.uab.cat/record/57607
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_54210_10
Access Level:acceso abierto
Palabra clave:Non-doubling measure
Doubling balls
John-Nirenberg inequality
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spelling A framework for non-homogeneous analysis on metric spaces, and the RBMO space of TolsaHytönen, Tuomas|||0000-0003-2911-2391Non-doubling measureDoubling ballsJohn-Nirenberg inequalityA new class of metric measure spaces is introduced and studied. This class generalises the well-established doubling metric measure spaces as well as the spaces (Rn, μ) with μ(B(α, r)) ≤ Crd, in which non-doubling harmonic analysis has recently been developed. It seems to be a promising framework for an abstract extension of this theory. Tolsa's space of regularised BMO functions is defined in this new setting, and the John-Nirenberg inequality is proven. 22010-01-0120102010-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/57607https://dx.doi.org/urn:doi:10.5565/PUBLMAT_54210_10reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen 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:576072026-06-06T12:50:31Z
dc.title.none.fl_str_mv A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
title A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
spellingShingle A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
Hytönen, Tuomas|||0000-0003-2911-2391
Non-doubling measure
Doubling balls
John-Nirenberg inequality
title_short A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
title_full A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
title_fullStr A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
title_full_unstemmed A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
title_sort A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
dc.creator.none.fl_str_mv Hytönen, Tuomas|||0000-0003-2911-2391
author Hytönen, Tuomas|||0000-0003-2911-2391
author_facet Hytönen, Tuomas|||0000-0003-2911-2391
author_role author
dc.subject.none.fl_str_mv Non-doubling measure
Doubling balls
John-Nirenberg inequality
topic Non-doubling measure
Doubling balls
John-Nirenberg inequality
description A new class of metric measure spaces is introduced and studied. This class generalises the well-established doubling metric measure spaces as well as the spaces (Rn, μ) with μ(B(α, r)) ≤ Crd, in which non-doubling harmonic analysis has recently been developed. It seems to be a promising framework for an abstract extension of this theory. Tolsa's space of regularised BMO functions is defined in this new setting, and the John-Nirenberg inequality is proven.
publishDate 2010
dc.date.none.fl_str_mv 2
2010-01-01
2010
2010-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
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http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/57607
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_54210_10
url https://ddd.uab.cat/record/57607
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_54210_10
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
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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
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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