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Global regularity of the \(\bar\partial\)-Neumann problem on an annulus between two pseudoconvex manifolds which satisfy property (P)

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Titel:	Global regularity of the \(\bar\partial\)-Neumann problem on an annulus between two pseudoconvex manifolds which satisfy property (P)
Autoren:	Cho, Hong Rae
Verlagsinformationen:	Springer, Berlin/Heidelberg
Schlagwörter:	pseudoconvex manifolds, \(\overline{\partial}\)-Neumann problem, Pseudoconvex domains, Catlin condition, \(\overline\partial\) and \(\overline\partial\)-Neumann operators
Beschreibung:	Let \(X\) be a complex manifold of dimension \(n\) and \(\Omega\Subset X\) be an open submanifold with smooth boundary. The paper concerns the \(\overline{\partial}\)-Neumann problem on \(\Omega\). The main result is Theorem. Let \(n\geq 3\). Let \(\Omega_1,\Omega_2\) be two open pseudoconvex manifolds with smooth boundary such that \(\Omega_1\Subset \Omega_2\Subset X\). Suppose that \(b\Omega_1\) and \(b\Omega_2\) satisfy the Catlin condition. Let \(\Omega= \Omega_2\setminus \overline{\Omega}_1\). Then the compactness estimate for \((p,q)\)-forms, \(0
Publikationsart:	Article
Dateibeschreibung:	application/xml
DOI:	10.1007/bf02568317
Zugangs-URL:	https://zbmath.org/980706
Dokumentencode:	edsair.c2b0b933574d..65e9abf78b05f6f6707ea7bb647c98f0
Datenbank:	OpenAIRE

Beschreibung
Abstract:	Let \(X\) be a complex manifold of dimension \(n\) and \(\Omega\Subset X\) be an open submanifold with smooth boundary. The paper concerns the \(\overline{\partial}\)-Neumann problem on \(\Omega\). The main result is Theorem. Let \(n\geq 3\). Let \(\Omega_1,\Omega_2\) be two open pseudoconvex manifolds with smooth boundary such that \(\Omega_1\Subset \Omega_2\Subset X\). Suppose that \(b\Omega_1\) and \(b\Omega_2\) satisfy the Catlin condition. Let \(\Omega= \Omega_2\setminus \overline{\Omega}_1\). Then the compactness estimate for \((p,q)\)-forms, \(0
DOI:	10.1007/bf02568317