Pointwise blow-up of sequences bounded in \(L^1\) (Q5955044)
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scientific article; zbMATH DE number 1703051
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pointwise blow-up of sequences bounded in \(L^1\) |
scientific article; zbMATH DE number 1703051 |
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Pointwise blow-up of sequences bounded in \(L^1\) (English)
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7 February 2002
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Given a sequence of functions bounded in \(L^1([0,1])\), is it possible to extract a subsequence that is pointwise bounded almost everywhere? In this paper the authors present an example showing that this not possible in general and prove a pair of positive results.
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integrable functions
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Cantor sets
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Hausdorff dimension
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