Boundedness of the Hilbert transform on weighted Lorentz spaces (Q441971)
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scientific article; zbMATH DE number 6064296
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundedness of the Hilbert transform on weighted Lorentz spaces |
scientific article; zbMATH DE number 6064296 |
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Boundedness of the Hilbert transform on weighted Lorentz spaces (English)
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8 August 2012
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The authors study the boundedness of the Hilbert transform \(H\) and of its maximal operator \(H^*\) on weighted Lorentz spaces. They provide some necessary and sufficient conditions for particular weights.
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Hilbert transform
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Lorentz space
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weight
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Muckenhoupt weight
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0.95713556
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0.9385632
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0.93503857
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0.93323064
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0.9301708
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0.9118456
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