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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Autores principales: Medina,Juan M, Cernuschi-Frias,Bruno
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2013
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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
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