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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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Bibliographic Details
Title: Global regularity of the \(\bar\partial\)-Neumann problem on an annulus between two pseudoconvex manifolds which satisfy property (P)
Authors: Cho, Hong Rae
Publisher Information: Springer, Berlin/Heidelberg
Subject Terms: pseudoconvex manifolds, \(\overline{\partial}\)-Neumann problem, Pseudoconvex domains, Catlin condition, \(\overline\partial\) and \(\overline\partial\)-Neumann operators
Description: 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
Document Type: Article
File Description: application/xml
DOI: 10.1007/bf02568317
Access URL: https://zbmath.org/980706
Accession Number: edsair.c2b0b933574d..65e9abf78b05f6f6707ea7bb647c98f0
Database: OpenAIRE
Description
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