Zobraziť v EDS

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

Uložené v:
Podrobná bibliografia
Názov: Global regularity of the \(\bar\partial\)-Neumann problem on an annulus between two pseudoconvex manifolds which satisfy property (P)
Autori: Cho, Hong Rae
Informácie o vydavateľovi: Springer, Berlin/Heidelberg
Predmety: pseudoconvex manifolds, \(\overline{\partial}\)-Neumann problem, Pseudoconvex domains, Catlin condition, \(\overline\partial\) and \(\overline\partial\)-Neumann operators
Popis: 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
Druh dokumentu: Article
Popis súboru: application/xml
DOI: 10.1007/bf02568317
Prístupová URL adresa: https://zbmath.org/980706
Prístupové číslo: edsair.c2b0b933574d..65e9abf78b05f6f6707ea7bb647c98f0
Databáza: OpenAIRE
Popis
Abstrakt: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