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Type: Artigo de periódico
Title: Pointwise blow-up of sequences bounded in L-1
Author: Lopes, MC
Lopes, HJN
Abstract: Given a sequence of functions bounded in L-1([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. (C) 2001 Academic Press.
Subject: integrable functions
Cantor sets
Hausdorff dimension
approximation of solutions
Country: EUA
Editor: Academic Press Inc
Citation: Journal Of Mathematical Analysis And Applications. Academic Press Inc, v. 263, n. 2, n. 447, n. 454, 2001.
Rights: fechado
Identifier DOI: 10.1006/jmaa.2001.7619
Date Issue: 2001
Appears in Collections:Unicamp - Artigos e Outros Documentos

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