Rearrangements and measure preserving transformations. (Q2782324)
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scientific article; zbMATH DE number 1724262
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rearrangements and measure preserving transformations. |
scientific article; zbMATH DE number 1724262 |
Statements
2001
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rearrangement
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polar factorization
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Pólya-Szegö inequality
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0.9110477
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0.87661165
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0.8694866
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0.86442536
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Rearrangements and measure preserving transformations. (English)
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In this little survey (without proofs) the authors give a representation formula for those rearrangements of a given function \(f\) whose polar factorization has a measure preserving map which is a bijection. Those are all the pseudo-rearrangements of \(f^*\) that are equimeasurable with \(f\).NEWLINENEWLINEFor the entire collection see [Zbl 0978.00050].
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