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Sobolev estimates for the Lewy operator on weakly pseudo-convex boundaries - MaRDI portal

Sobolev estimates for the Lewy operator on weakly pseudo-convex boundaries (Q1073223)

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scientific article; zbMATH DE number 3944274
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Sobolev estimates for the Lewy operator on weakly pseudo-convex boundaries
scientific article; zbMATH DE number 3944274

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    Sobolev estimates for the Lewy operator on weakly pseudo-convex boundaries (English)
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    1986
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    The authors prove a regularity theorem, with optimal estimates in the Sobolev norm, for the global \({\bar \partial}_ b\) problem on forms of top degree on the boundary of smooth, pseudoconvex domain. The methods are a combination of integral formulas and weighted estimates. The paper contains a detailed account of the history of this and related problems.
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    Cauchy-Riemann complex
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    Lewy operator
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    pseudoconvex domain
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