Hölder estimates on CR manifolds with a diagonalizable Levi form (Q1813373)
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scientific article; zbMATH DE number 6198
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hölder estimates on CR manifolds with a diagonalizable Levi form |
scientific article; zbMATH DE number 6198 |
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Hölder estimates on CR manifolds with a diagonalizable Levi form (English)
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25 June 1992
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The whole paper is devoted to the proof of a theorem on local Hölder estimates for solutions of \(\overline{\partial}_ b -\) and related equations on compact pseudoconvex CR manifolds at points possessing a neighborhood where the Levi form is diagonalizable. Such a result was known before only for strongly pseudoconvex CR manifolds and in some particular cases. The paper contains a number of interesting statements and corollaries which can not be formulated in a short review.
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diagonalizable Levi form
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local Hölder estimates
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solutions of \(\overline\partial_ b\)
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compact pseudoconvex \(CR\) manifolds
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