\({\mathcal C}^k\) estimates for \({\overline\partial}\) on \(q\)-convex wedges (Q1601770)
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scientific article; zbMATH DE number 1761099
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \({\mathcal C}^k\) estimates for \({\overline\partial}\) on \(q\)-convex wedges |
scientific article; zbMATH DE number 1761099 |
Statements
\({\mathcal C}^k\) estimates for \({\overline\partial}\) on \(q\)-convex wedges (English)
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27 June 2002
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Using integral representations, the author shows that the equation \(\overline\partial u=f\) for a \((0,q)\)-form \(f\) of class \(C^k\) on a generic wedge of \(\mathbb{C}^n\) which is \((n-r)\)-convex has a solution in \(C^{k-1+\alpha}\) for all \(0\leq\alpha<1\).
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estimator for delta-bar
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\(q\)-convex wedges
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