Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/95236
Type: Artigo de periódico
Title: Pointwise Blow-up Of Sequences Bounded In L1
Author: Lopes Filho M.C.
Nussenzveig Lopes H.J.
Abstract: Given a sequence of functions bounded in L1([0, 1]), is it possible to extract a subsequence that is pointwise bounded almost everywhere? The main objective of this note is to present an example showing that this is not possible in general. We will also prove a pair of positive results. We show that if the sequence of functions consists of multiples of characteristic functions of measurable sets, the answer is yes. We also show that it is always possible to extract a subsequence that is pointwise bounded on a countable, dense set of points. © 2001 Academic Press.
Editor: 
Rights: fechado
Identifier DOI: 10.1006/jmaa.2001.7619
Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-0035891472&partnerID=40&md5=7aa43c835a4d513a9b1d7734f4aabc96
Date Issue: 2001
Appears in Collections:Unicamp - Artigos e Outros Documentos

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