A geometric approach to the weighted estimates of Hilbert transforms (Q793935)
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scientific article; zbMATH DE number 3857710
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A geometric approach to the weighted estimates of Hilbert transforms |
scientific article; zbMATH DE number 3857710 |
Statements
A geometric approach to the weighted estimates of Hilbert transforms (English)
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1983
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In this short communication a geometrical approach has been applied to prove three fundamental inequalities for absolutely continuous measures in the set of trigonometric polynomials. The non-commutative case is considered when these inequalities cease to be equivalent. An operator analogue of the Koosis theorem is established.
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weighted estimates
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Hilbert transform
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finite Borel measures
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geometrical approach
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inequalities
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absolutely continuous measures
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trigonometric polynomials
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non-commutative case
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Koosis theorem
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