A convergence result for unconditional series in Lp(ì)

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.

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Detalles Bibliográficos
Autores principales:	Medina,Juan M, Cernuschi-Frias,Bruno
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2013
Materias:	Unconditional basic sequence almost sure convergence random series
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000400001
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spelling	oai:scielo:S0716-091720130004000012014-09-09A convergence result for unconditional series in Lp(ì)Medina,Juan MCernuschi-Frias,Bruno Unconditional basic sequence almost sure convergence random series 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.32 n.4 20132013-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000400001en10.4067/S0716-09172013000400001
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Unconditional basic sequence almost sure convergence random series
spellingShingle	Unconditional basic sequence almost sure convergence random series Medina,Juan M Cernuschi-Frias,Bruno A convergence result for unconditional series in Lp(ì)
description	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.
author	Medina,Juan M Cernuschi-Frias,Bruno
author_facet	Medina,Juan M Cernuschi-Frias,Bruno
author_sort	Medina,Juan M
title	A convergence result for unconditional series in Lp(ì)
title_short	A convergence result for unconditional series in Lp(ì)
title_full	A convergence result for unconditional series in Lp(ì)
title_fullStr	A convergence result for unconditional series in Lp(ì)
title_full_unstemmed	A convergence result for unconditional series in Lp(ì)
title_sort	convergence result for unconditional series in lp(ì)
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2013
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000400001
work_keys_str_mv	AT medinajuanm aconvergenceresultforunconditionalseriesinlpi AT cernuschifriasbruno aconvergenceresultforunconditionalseriesinlpi AT medinajuanm convergenceresultforunconditionalseriesinlpi AT cernuschifriasbruno convergenceresultforunconditionalseriesinlpi
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A convergence result for unconditional series in Lp(ì)

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