Differential transforms of Cesàro averages in weighted spaces

Autores
Bernardis, Ana Lucia; Martín Reyes, Francisco Javier
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we obtain convergence results for the series of differences of Cesàro averages along lacunary sequences in the setting of weighted Lp-spaces. These results give some information about how the Cesàro averages converge. The paper extends results of an earlier work by R. L. Jones and J. Rosenblatt. The operators considered are essentially convolution operators given by kernels more singular than the ones in the article by Jones and Rosenblatt.
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: Martín Reyes, Francisco Javier. Universidad de Málaga; España
Materia
CesÀRo Averages
Differential Transforms
Weight
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:11336/84101

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spelling Differential transforms of Cesàro averages in weighted spacesBernardis, Ana LuciaMartín Reyes, Francisco JavierCesÀRo AveragesDifferential TransformsWeighthttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we obtain convergence results for the series of differences of Cesàro averages along lacunary sequences in the setting of weighted Lp-spaces. These results give some information about how the Cesàro averages converge. The paper extends results of an earlier work by R. L. Jones and J. Rosenblatt. The operators considered are essentially convolution operators given by kernels more singular than the ones in the article by Jones and Rosenblatt.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; ArgentinaFil: Martín Reyes, Francisco Javier. Universidad de Málaga; EspañaUniversitat Autònoma de Barcelona2008-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/84101Bernardis, Ana Lucia; Martín Reyes, Francisco Javier; Differential transforms of Cesàro averages in weighted spaces; Universitat Autònoma de Barcelona; Publicacions Matematiques; 52; 1; 12-2008; 101-1270214-1493CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.5565/PUBLMAT_52108_05info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:41:02Zoai:ri.conicet.gov.ar:11336/84101instacron: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 09:41:03.124CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Differential transforms of Cesàro averages in weighted spaces
title Differential transforms of Cesàro averages in weighted spaces
spellingShingle Differential transforms of Cesàro averages in weighted spaces
Bernardis, Ana Lucia
CesÀRo Averages
Differential Transforms
Weight
title_short Differential transforms of Cesàro averages in weighted spaces
title_full Differential transforms of Cesàro averages in weighted spaces
title_fullStr Differential transforms of Cesàro averages in weighted spaces
title_full_unstemmed Differential transforms of Cesàro averages in weighted spaces
title_sort Differential transforms of Cesàro averages in weighted spaces
dc.creator.none.fl_str_mv Bernardis, Ana Lucia
Martín Reyes, Francisco Javier
author Bernardis, Ana Lucia
author_facet Bernardis, Ana Lucia
Martín Reyes, Francisco Javier
author_role author
author2 Martín Reyes, Francisco Javier
author2_role author
dc.subject.none.fl_str_mv CesÀRo Averages
Differential Transforms
Weight
topic CesÀRo Averages
Differential Transforms
Weight
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper we obtain convergence results for the series of differences of Cesàro averages along lacunary sequences in the setting of weighted Lp-spaces. These results give some information about how the Cesàro averages converge. The paper extends results of an earlier work by R. L. Jones and J. Rosenblatt. The operators considered are essentially convolution operators given by kernels more singular than the ones in the article by Jones and Rosenblatt.
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: Martín Reyes, Francisco Javier. Universidad de Málaga; España
description In this paper we obtain convergence results for the series of differences of Cesàro averages along lacunary sequences in the setting of weighted Lp-spaces. These results give some information about how the Cesàro averages converge. The paper extends results of an earlier work by R. L. Jones and J. Rosenblatt. The operators considered are essentially convolution operators given by kernels more singular than the ones in the article by Jones and Rosenblatt.
publishDate 2008
dc.date.none.fl_str_mv 2008-12
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/11336/84101
Bernardis, Ana Lucia; Martín Reyes, Francisco Javier; Differential transforms of Cesàro averages in weighted spaces; Universitat Autònoma de Barcelona; Publicacions Matematiques; 52; 1; 12-2008; 101-127
0214-1493
CONICET Digital
CONICET
url http://hdl.handle.net/11336/84101
identifier_str_mv Bernardis, Ana Lucia; Martín Reyes, Francisco Javier; Differential transforms of Cesàro averages in weighted spaces; Universitat Autònoma de Barcelona; Publicacions Matematiques; 52; 1; 12-2008; 101-127
0214-1493
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.5565/PUBLMAT_52108_05
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 Universitat Autònoma de Barcelona
publisher.none.fl_str_mv Universitat Autònoma de Barcelona
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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