A pseudoconvex domain with bounded solutions for \(\overline{\partial}\), but not admitting \({\mathcal C}^ 1\)-estimates (Q1319342)
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scientific article; zbMATH DE number 549780
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A pseudoconvex domain with bounded solutions for \(\overline{\partial}\), but not admitting \({\mathcal C}^ 1\)-estimates |
scientific article; zbMATH DE number 549780 |
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A pseudoconvex domain with bounded solutions for \(\overline{\partial}\), but not admitting \({\mathcal C}^ 1\)-estimates (English)
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12 November 1995
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The author studies \(\overline \partial\)-equations on the domain \[ H = \bigl\{ | z | < 1 \bigr\} \times \bigl\{ (z,w) \in C^ 2 : | z | < | w | < 1 \bigr\}. \] In particular, he shows that there exist forms for which the equation cannot be solved with \(C^ 1\)- estimates.
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pseudoconvex domains
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\(\overline (\partial)\)-equation
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Hartogs triangle
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