On rearrangements of series in \(L^ p\) spaces (Q1358419)
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scientific article; zbMATH DE number 1028460
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On rearrangements of series in \(L^ p\) spaces |
scientific article; zbMATH DE number 1028460 |
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On rearrangements of series in \(L^ p\) spaces (English)
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16 February 1998
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Let \(\pi\) be a measure-preserving bijection defined on dyadic intervals in \([0,1]\) and \(R_\pi\) be the rearrangement of Haar series induced by \(\pi\). The author announces several results about the norms of \(R_\pi\) and \(\pi\). For example, if \(\pi\) is nontrivial and \(1\leq p<\infty\) then \(|R_\pi|_{L^p}\geq (3/2)^{|p-2|/2p}\).
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measure-preserving bijection
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rearrangement of Haar series
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0.8923200368881226
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0.8660849928855896
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0.8156947493553162
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0.8037832379341125
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