The Hardy space of solutions to first-order elliptic systems (Q957754)
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scientific article; zbMATH DE number 5375881
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Hardy space of solutions to first-order elliptic systems |
scientific article; zbMATH DE number 5375881 |
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The Hardy space of solutions to first-order elliptic systems (English)
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1 December 2008
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The author investigates the solutions of the first-order elliptic system for a class in the complex plane with a piecewise Lyapunov contour as the boundary of the domain by using a generalized Cauchy-type integral and the Sokhotskii-Plemelj formula based on the basic theory of \(H^p\)-spaces.
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Hardy spaces
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first-order elliptic system
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piecewise Lyapunov contour
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sup-norm
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\(J\)-analytic function
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generalized Cauchy-type integral
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Sokhotskii-Plemelj formula
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block-diagonal form
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