Wavelet expansions for weighted, vector-valued BMO functions

Autores
Hytönen, Tuomas; Salinas, Oscar Mario; Viviani, Beatriz Eleonora
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We introduce a scale of weighted Carleson norms, which depend on an integrability parameter p, where p = 2 corresponds to the classical Carleson measure condition. Relations between the weighted BMO norm of a vector-valued function f: ℝ → X, and the Carleson norm of the sequence of its wavelet coefficients, are established. These extend the results of Harboure-Salinas-Viviani, also in the scalar-valued case when p ≠ 2
Fil: Hytönen, Tuomas. University of Helsinki; Finlandia
Fil: Salinas, Oscar Mario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Viviani, Beatriz Eleonora. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Materia
Wavelet Expansions
Carleson Measure
Bmo Functions
Umd Spaces
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:11336/75190
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/75190
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Wavelet expansions for weighted, vector-valued BMO functionsHytönen, TuomasSalinas, Oscar MarioViviani, Beatriz EleonoraWavelet ExpansionsCarleson MeasureBmo FunctionsUmd Spaceshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We introduce a scale of weighted Carleson norms, which depend on an integrability parameter p, where p = 2 corresponds to the classical Carleson measure condition. Relations between the weighted BMO norm of a vector-valued function f: ℝ → X, and the Carleson norm of the sequence of its wavelet coefficients, are established. These extend the results of Harboure-Salinas-Viviani, also in the scalar-valued case when p ≠ 2Fil: Hytönen, Tuomas. University of Helsinki; FinlandiaFil: Salinas, Oscar Mario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaFil: Viviani, Beatriz Eleonora. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaSpringer2010-03info: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/11336/75190Hytönen, Tuomas; Salinas, Oscar Mario; Viviani, Beatriz Eleonora; Wavelet expansions for weighted, vector-valued BMO functions; Springer; Journal d'Analyse Mathématique; 111; 1; 3-2010; 321-3370021-7670CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s11854-010-0020-5info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s11854-010-0020-5info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0901.1577info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:03:58Zoai:ri.conicet.gov.ar:11336/75190instacron: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 10:03:59.146CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Wavelet expansions for weighted, vector-valued BMO functions
title Wavelet expansions for weighted, vector-valued BMO functions
spellingShingle Wavelet expansions for weighted, vector-valued BMO functions
Hytönen, Tuomas
Wavelet Expansions
Carleson Measure
Bmo Functions
Umd Spaces
title_short Wavelet expansions for weighted, vector-valued BMO functions
title_full Wavelet expansions for weighted, vector-valued BMO functions
title_fullStr Wavelet expansions for weighted, vector-valued BMO functions
title_full_unstemmed Wavelet expansions for weighted, vector-valued BMO functions
title_sort Wavelet expansions for weighted, vector-valued BMO functions
dc.creator.none.fl_str_mv Hytönen, Tuomas
Salinas, Oscar Mario
Viviani, Beatriz Eleonora
author Hytönen, Tuomas
author_facet Hytönen, Tuomas
Salinas, Oscar Mario
Viviani, Beatriz Eleonora
author_role author
author2 Salinas, Oscar Mario
Viviani, Beatriz Eleonora
author2_role author
author
dc.subject.none.fl_str_mv Wavelet Expansions
Carleson Measure
Bmo Functions
Umd Spaces
topic Wavelet Expansions
Carleson Measure
Bmo Functions
Umd Spaces
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 introduce a scale of weighted Carleson norms, which depend on an integrability parameter p, where p = 2 corresponds to the classical Carleson measure condition. Relations between the weighted BMO norm of a vector-valued function f: ℝ → X, and the Carleson norm of the sequence of its wavelet coefficients, are established. These extend the results of Harboure-Salinas-Viviani, also in the scalar-valued case when p ≠ 2
Fil: Hytönen, Tuomas. University of Helsinki; Finlandia
Fil: Salinas, Oscar Mario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Viviani, Beatriz Eleonora. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
description We introduce a scale of weighted Carleson norms, which depend on an integrability parameter p, where p = 2 corresponds to the classical Carleson measure condition. Relations between the weighted BMO norm of a vector-valued function f: ℝ → X, and the Carleson norm of the sequence of its wavelet coefficients, are established. These extend the results of Harboure-Salinas-Viviani, also in the scalar-valued case when p ≠ 2
publishDate 2010
dc.date.none.fl_str_mv 2010-03
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/11336/75190
Hytönen, Tuomas; Salinas, Oscar Mario; Viviani, Beatriz Eleonora; Wavelet expansions for weighted, vector-valued BMO functions; Springer; Journal d'Analyse Mathématique; 111; 1; 3-2010; 321-337
0021-7670
CONICET Digital
CONICET
url http://hdl.handle.net/11336/75190
identifier_str_mv Hytönen, Tuomas; Salinas, Oscar Mario; Viviani, Beatriz Eleonora; Wavelet expansions for weighted, vector-valued BMO functions; Springer; Journal d'Analyse Mathématique; 111; 1; 3-2010; 321-337
0021-7670
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s11854-010-0020-5
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s11854-010-0020-5
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0901.1577
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 Springer
publisher.none.fl_str_mv Springer
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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