Differential transforms in weighted spaces

Autores
Bernardis, Ana Lucia; Lorente, M.; Martín Reyes, Francisco Javier; Martínez, M.T.; De La Torre, A.; Torrea, J.L.
Año de publicación
2006
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We extend the results by Jones and Rosenblatt about the series of the differences of differentiation operators along lacunary sequences to BMO and to the setting of weighted Lp spaces. We use a different approach which allows to establish that the one-sided Sawyer Ap weights are the natural ones to study the boundedness and convergence of that series in weighted spaces
Fil: Bernardis, Ana Lucia. 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: Lorente, M.. Universidad de Málaga; España
Fil: Martín Reyes, Francisco Javier. Universidad de Málaga; España
Fil: Martínez, M.T.. Universidad Autónoma de Madrid; España
Fil: De La Torre, A.. Universidad de Málaga; España
Fil: Torrea, J.L.. Universidad Autónoma de Madrid; España
Materia
ALMOST EVERYWHERE CONVERGENCE
DIFFERENTIAL TRANSFORMS
ERGODIC AVERAGES
MAXIMAL OPERATOR
SINGULAR INTEGRAL
WEIGHTED INEQUALITIES
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:11336/84258
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/84258
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Differential transforms in weighted spacesBernardis, Ana LuciaLorente, M.Martín Reyes, Francisco JavierMartínez, M.T.De La Torre, A.Torrea, J.L.ALMOST EVERYWHERE CONVERGENCEDIFFERENTIAL TRANSFORMSERGODIC AVERAGESMAXIMAL OPERATORSINGULAR INTEGRALWEIGHTED INEQUALITIEShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We extend the results by Jones and Rosenblatt about the series of the differences of differentiation operators along lacunary sequences to BMO and to the setting of weighted Lp spaces. We use a different approach which allows to establish that the one-sided Sawyer Ap weights are the natural ones to study the boundedness and convergence of that series in weighted spacesFil: Bernardis, Ana Lucia. 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: Lorente, M.. Universidad de Málaga; EspañaFil: Martín Reyes, Francisco Javier. Universidad de Málaga; EspañaFil: Martínez, M.T.. Universidad Autónoma de Madrid; EspañaFil: De La Torre, A.. Universidad de Málaga; EspañaFil: Torrea, J.L.. Universidad Autónoma de Madrid; EspañaBirkhauser Boston Inc2006-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/84258Bernardis, Ana Lucia; Lorente, M.; Martín Reyes, Francisco Javier; Martínez, M.T.; De La Torre, A.; et al.; Differential transforms in weighted spaces; Birkhauser Boston Inc; Journal Of Fourier Analysis And Applications; 12; 1; 2-2006; 83-1031069-5869CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s00041-005-5064-zinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:36:10Zoai:ri.conicet.gov.ar:11336/84258instacron: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 09:36:11.138CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Differential transforms in weighted spaces
title Differential transforms in weighted spaces
spellingShingle Differential transforms in weighted spaces
Bernardis, Ana Lucia
ALMOST EVERYWHERE CONVERGENCE
DIFFERENTIAL TRANSFORMS
ERGODIC AVERAGES
MAXIMAL OPERATOR
SINGULAR INTEGRAL
WEIGHTED INEQUALITIES
title_short Differential transforms in weighted spaces
title_full Differential transforms in weighted spaces
title_fullStr Differential transforms in weighted spaces
title_full_unstemmed Differential transforms in weighted spaces
title_sort Differential transforms in weighted spaces
dc.creator.none.fl_str_mv Bernardis, Ana Lucia
Lorente, M.
Martín Reyes, Francisco Javier
Martínez, M.T.
De La Torre, A.
Torrea, J.L.
author Bernardis, Ana Lucia
author_facet Bernardis, Ana Lucia
Lorente, M.
Martín Reyes, Francisco Javier
Martínez, M.T.
De La Torre, A.
Torrea, J.L.
author_role author
author2 Lorente, M.
Martín Reyes, Francisco Javier
Martínez, M.T.
De La Torre, A.
Torrea, J.L.
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv ALMOST EVERYWHERE CONVERGENCE
DIFFERENTIAL TRANSFORMS
ERGODIC AVERAGES
MAXIMAL OPERATOR
SINGULAR INTEGRAL
WEIGHTED INEQUALITIES
topic ALMOST EVERYWHERE CONVERGENCE
DIFFERENTIAL TRANSFORMS
ERGODIC AVERAGES
MAXIMAL OPERATOR
SINGULAR INTEGRAL
WEIGHTED INEQUALITIES
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 extend the results by Jones and Rosenblatt about the series of the differences of differentiation operators along lacunary sequences to BMO and to the setting of weighted Lp spaces. We use a different approach which allows to establish that the one-sided Sawyer Ap weights are the natural ones to study the boundedness and convergence of that series in weighted spaces
Fil: Bernardis, Ana Lucia. 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: Lorente, M.. Universidad de Málaga; España
Fil: Martín Reyes, Francisco Javier. Universidad de Málaga; España
Fil: Martínez, M.T.. Universidad Autónoma de Madrid; España
Fil: De La Torre, A.. Universidad de Málaga; España
Fil: Torrea, J.L.. Universidad Autónoma de Madrid; España
description We extend the results by Jones and Rosenblatt about the series of the differences of differentiation operators along lacunary sequences to BMO and to the setting of weighted Lp spaces. We use a different approach which allows to establish that the one-sided Sawyer Ap weights are the natural ones to study the boundedness and convergence of that series in weighted spaces
publishDate 2006
dc.date.none.fl_str_mv 2006-02
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/11336/84258
Bernardis, Ana Lucia; Lorente, M.; Martín Reyes, Francisco Javier; Martínez, M.T.; De La Torre, A.; et al.; Differential transforms in weighted spaces; Birkhauser Boston Inc; Journal Of Fourier Analysis And Applications; 12; 1; 2-2006; 83-103
1069-5869
CONICET Digital
CONICET
url http://hdl.handle.net/11336/84258
identifier_str_mv Bernardis, Ana Lucia; Lorente, M.; Martín Reyes, Francisco Javier; Martínez, M.T.; De La Torre, A.; et al.; Differential transforms in weighted spaces; Birkhauser Boston Inc; Journal Of Fourier Analysis And Applications; 12; 1; 2-2006; 83-103
1069-5869
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/s00041-005-5064-z
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/pdf
dc.publisher.none.fl_str_mv Birkhauser Boston Inc
publisher.none.fl_str_mv Birkhauser Boston Inc
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_ 1844613132771655680
score 13.070432

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