Regularity of the Bergman projection on domains with partial transverse symmetries (Q1082544)
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scientific article; zbMATH DE number 3973450
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity of the Bergman projection on domains with partial transverse symmetries |
scientific article; zbMATH DE number 3973450 |
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Regularity of the Bergman projection on domains with partial transverse symmetries (English)
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1987
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The author proves that the Bergman projection of a smooth bounded pseudoconvex domain which possesses local transverse symmetries near its weakly pseudoconvex boundary points satisfies global regularity estimates. It follows that Sibony's example of a pseudoconvex domain where \({\bar \partial}\) fails to have bounded solutions satisfies condition R.
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Bergman projection
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bounded pseudoconvex domain
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local transverse symmetries
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global regularity
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Sibony's example
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