Estimates for the solution of \(\overline\partial\) on an intersection of strictly pseudoconvex open sets (Q1358239)
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scientific article; zbMATH DE number 1028176
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimates for the solution of \(\overline\partial\) on an intersection of strictly pseudoconvex open sets |
scientific article; zbMATH DE number 1028176 |
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Estimates for the solution of \(\overline\partial\) on an intersection of strictly pseudoconvex open sets (English)
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3 July 1997
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Using Berndtsson and Andersson kernels, we obtain a solution of the equation \(\overline \partial u=w\) for \(w\) defined on a transversal intersection of strictly pseudoconvex domains. The solution is given by an integral supported only by the domain \(\Omega\) considered. This allow us to have, in particular, \(u\) in \(L^p_{(0,q-1)} (\Omega)\) for \(w\) in \(L^p_{(0,q)} (\Omega)\).
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\(L^ p\) estimates
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\(\overline\partial\) equation
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integral representation
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transversal intersection
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strictly pseudoconvex domains
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