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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Universidad Católica del Norte, Departamento de Matemáticas
2013
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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 |
_version_ |
1718439792658612224 |