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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
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  Data: Global regularity of the \(\bar\partial\)-Neumann problem on an annulus between two pseudoconvex manifolds which satisfy property (P)
– Name: Author
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  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Cho%2C+Hong+Rae%22">Cho, Hong Rae</searchLink>
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  Label: Publisher Information
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  Data: Springer, Berlin/Heidelberg
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22pseudoconvex+manifolds%22">pseudoconvex manifolds</searchLink><br /><searchLink fieldCode="DE" term="%22%5C%28%5Coverline{%5Cpartial}%5C%29-Neumann+problem%22">\(\overline{\partial}\)-Neumann problem</searchLink><br /><searchLink fieldCode="DE" term="%22Pseudoconvex+domains%22">Pseudoconvex domains</searchLink><br /><searchLink fieldCode="DE" term="%22Catlin+condition%22">Catlin condition</searchLink><br /><searchLink fieldCode="DE" term="%22%5C%28%5Coverline%5Cpartial%5C%29+and+%5C%28%5Coverline%5Cpartial%5C%29-Neumann+operators%22">\(\overline\partial\) and \(\overline\partial\)-Neumann operators</searchLink>
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  Label: Description
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  Data: 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
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  Data: 10.1007/bf02568317
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    Subjects:
      – SubjectFull: pseudoconvex manifolds
        Type: general
      – SubjectFull: \(\overline{\partial}\)-Neumann problem
        Type: general
      – SubjectFull: Pseudoconvex domains
        Type: general
      – SubjectFull: Catlin condition
        Type: general
      – SubjectFull: \(\overline\partial\) and \(\overline\partial\)-Neumann operators
        Type: general
    Titles:
      – TitleFull: Global regularity of the \(\bar\partial\)-Neumann problem on an annulus between two pseudoconvex manifolds which satisfy property (P)
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