A convergence result for unconditional series in Lp(u)
- Autores
- Medina, Juan Miguel; Cernuschi Frias, Bruno
- Año de publicación
- 2013
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We give sufficient conditions for the convergence almost everywhere of the expansion with respect to an unconditional basis for
functions in Lp, p ≥ 2. This result extends the classical theorem of
Menchoff and Rademacher for orthogonal series in L2.
Fil: Medina, Juan Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemáticas; Argentina;
Fil: Cernuschi Frias, Bruno. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemáticas; Argentina; - Materia
-
Unconditional basic sequence
random series - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/1041
Ver los metadatos del registro completo
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A convergence result for unconditional series in Lp(u)Medina, Juan MiguelCernuschi Frias, BrunoUnconditional basic sequencerandom serieshttps://purl.org/becyt/ford/2https://purl.org/becyt/ford/2.2We give sufficient conditions for the convergence almost everywhere of the expansion with respect to an unconditional basis for<br />functions in Lp, p ≥ 2. This result extends the classical theorem of<br />Menchoff and Rademacher for orthogonal series in L2.Fil: Medina, Juan Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemáticas; Argentina;Fil: Cernuschi Frias, Bruno. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemáticas; Argentina;2013-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/1041Medina, Juan Miguel; Cernuschi Frias, Bruno; A convergence result for unconditional series in Lp(u); Proyecciones; 32; 4; 12-2013; 305-3190716-09170717-6279enginfo:eu-repo/semantics/altIdentifier/url/http://www.scielo.cl/pdf/proy/v32n4/art01.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:14:57Zoai:ri.conicet.gov.ar:11336/1041instacron: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:34982025-10-22 11:14:57.477CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
A convergence result for unconditional series in Lp(u) |
title |
A convergence result for unconditional series in Lp(u) |
spellingShingle |
A convergence result for unconditional series in Lp(u) Medina, Juan Miguel Unconditional basic sequence random series |
title_short |
A convergence result for unconditional series in Lp(u) |
title_full |
A convergence result for unconditional series in Lp(u) |
title_fullStr |
A convergence result for unconditional series in Lp(u) |
title_full_unstemmed |
A convergence result for unconditional series in Lp(u) |
title_sort |
A convergence result for unconditional series in Lp(u) |
dc.creator.none.fl_str_mv |
Medina, Juan Miguel Cernuschi Frias, Bruno |
author |
Medina, Juan Miguel |
author_facet |
Medina, Juan Miguel Cernuschi Frias, Bruno |
author_role |
author |
author2 |
Cernuschi Frias, Bruno |
author2_role |
author |
dc.subject.none.fl_str_mv |
Unconditional basic sequence random series |
topic |
Unconditional basic sequence random series |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/2 https://purl.org/becyt/ford/2.2 |
dc.description.none.fl_txt_mv |
We give sufficient conditions for the convergence almost everywhere of the expansion with respect to an unconditional basis for<br />functions in Lp, p ≥ 2. This result extends the classical theorem of<br />Menchoff and Rademacher for orthogonal series in L2. Fil: Medina, Juan Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemáticas; Argentina; Fil: Cernuschi Frias, Bruno. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemáticas; Argentina; |
description |
We give sufficient conditions for the convergence almost everywhere of the expansion with respect to an unconditional basis for<br />functions in Lp, p ≥ 2. This result extends the classical theorem of<br />Menchoff and Rademacher for orthogonal series in L2. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-12 |
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/11336/1041 Medina, Juan Miguel; Cernuschi Frias, Bruno; A convergence result for unconditional series in Lp(u); Proyecciones; 32; 4; 12-2013; 305-319 0716-0917 0717-6279 |
url |
http://hdl.handle.net/11336/1041 |
identifier_str_mv |
Medina, Juan Miguel; Cernuschi Frias, Bruno; A convergence result for unconditional series in Lp(u); Proyecciones; 32; 4; 12-2013; 305-319 0716-0917 0717-6279 |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/http://www.scielo.cl/pdf/proy/v32n4/art01.pdf |
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.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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1846781575947091968 |
score |
12.982451 |