A martingale study of the Beurling-Ahlfors transform in \(\mathbb{R}^ n\) (Q1354625)
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scientific article; zbMATH DE number 1006676
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A martingale study of the Beurling-Ahlfors transform in \(\mathbb{R}^ n\) |
scientific article; zbMATH DE number 1006676 |
Statements
A martingale study of the Beurling-Ahlfors transform in \(\mathbb{R}^ n\) (English)
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2 June 1997
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The authors study the Beurling-Ahlfors transform via martingale transforms and some recent deep martingale inequalities due to Burkholder. They obtain new information on operator norms in certain cases and more detailed results in special cases. Finally, the inequalities (the authors) suggest ways for further, purely analytic, investigations.
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Beurling-Ahlfors transform
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martingale transforms
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