Homotopy formulas and \(\bar\partial\)-equation on local \(q\)-convex domains in Stein manifolds (Q1373836)
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scientific article; zbMATH DE number 1091420
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homotopy formulas and \(\bar\partial\)-equation on local \(q\)-convex domains in Stein manifolds |
scientific article; zbMATH DE number 1091420 |
Statements
Homotopy formulas and \(\bar\partial\)-equation on local \(q\)-convex domains in Stein manifolds (English)
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12 June 1998
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The author obtains the homotopy formulas for \((r,s)\)-differential forms on local \(q\)-convex domains in Stein manifolds together with the solution of \(\overline {\partial}\)-equation of type \((r,s)\). The results are obtained by means of a Hermitian metric and Chern connection and by constructing various integral kernels with respect to \((r,s)\) differential forms.
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Stein manifold
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local \(q\)-convex domain
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homotopy formula
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\(\overline {\partial}\)-equation
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Koppelman-Leray-Norguet formula
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