Some remarks on the \(L^p\) estimates for powers of the Ahlfors-Beurling operator (Q543297)
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scientific article; zbMATH DE number 5909095
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some remarks on the \(L^p\) estimates for powers of the Ahlfors-Beurling operator |
scientific article; zbMATH DE number 5909095 |
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Some remarks on the \(L^p\) estimates for powers of the Ahlfors-Beurling operator (English)
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17 June 2011
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The author gives a proof of sharp lower \(L^p\) bounds for powers of the Ahlfors-Beurling operator \(T\) and improves the numerical constant in their asymptotic estimates. He also discusses the possibilities of applying de Branges' theorem in the \(p-1\) problem.
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Ahlfors-Beurling transform
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hypergeometric functions
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