Existence and regularity of solutions of the \(\overline\partial\)-system on wedges of \(\mathbb{C}^N\) (Q1848130)
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scientific article; zbMATH DE number 1822117
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and regularity of solutions of the \(\overline\partial\)-system on wedges of \(\mathbb{C}^N\) |
scientific article; zbMATH DE number 1822117 |
Statements
Existence and regularity of solutions of the \(\overline\partial\)-system on wedges of \(\mathbb{C}^N\) (English)
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31 October 2002
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Let \(W\) be a wedge in \({\mathbb C}^n\). The author introduces two conditions of weak \(q\)-pseudoconvexity and proves that they entail solvability of the inhomogeneous Cauchy-Riemann equation for forms of degree \(\geq q+1\) with coefficients in \(C^\infty(W)\) and \(C^\infty(\overline W)\) respecvtively. All techniques in this paper rely on the method of \(L^2\) estimates by Hörmander.
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wedge
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\(q\)-pseudoconvex
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\(\bar\partial\)-system
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\(L^2\)-estimates
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