Integral representation formulas for differential forms on complex manifolds and applications to the \({\bar \partial}\)-equation (Q914893)
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scientific article; zbMATH DE number 4150634
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integral representation formulas for differential forms on complex manifolds and applications to the \({\bar \partial}\)-equation |
scientific article; zbMATH DE number 4150634 |
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Integral representation formulas for differential forms on complex manifolds and applications to the \({\bar \partial}\)-equation (English)
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1989
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The author derives an explicit global integral formula of Koppelman- Leray-Nourget type for differential forms on generalized analytic polyhedra on complex manifolds. Using this formula, the author gives explicit solution operator to the \({\bar \partial}\)-equation on strictly pseudoconvex polyhedra and proves that this solution admits uniform estimates.
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integral formula of Koppelman-Leray-Nourget type
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differential forms
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analytic polyhedra
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\({\bar \partial }\)-equation
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strictly pseudoconvex polyhedra
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