On the \(L^p\) norms of the Hilbert transform of a characteristic function (Q425732)
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scientific article; zbMATH DE number 6044505
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the \(L^p\) norms of the Hilbert transform of a characteristic function |
scientific article; zbMATH DE number 6044505 |
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On the \(L^p\) norms of the Hilbert transform of a characteristic function (English)
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8 June 2012
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The \(L^p\) norm of the Hilbert transform of the characteristic function of a set is invariant with respect to the structure of the set. The author shows that it can be written as an explicit function of the Lebesgue measure of the set and the exponent \(p\).
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Hilbert transform
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0.91076785
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0.9091368
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0.90013623
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0.8986915
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0.8962649
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