The \(\bar \partial\)-problem with support conditions on some weakly pseudoconvex domains

DOI10.1007/BF02385479zbMath1078.32023MaRDI QIDQ1880453

Judith Brinkschulte

Publication date: 28 September 2004

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

\(\overline \partial\)-equationslog\ \(\delta\)-pseudoconvexity.tangential \ \(\overline \partial\)-equations

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

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Cites Work

• Unnamed Item
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• Un théorème de dualité
• Equation de Lewy-résolubilité globale de l'équation \(\partial_ bu=f\) sur la frontière de domaines faiblement pseudo-convexes de \(C^ 2\) (ou \(C^ n)\)
• Tangential Cauchy-Riemann complexes on distributions
• Compact Kähler manifolds of positive bisectional curvature
• Pseudoconvex domains on a Kähler manifold with positive holomorphic bisectional curvature
• Pseudoconvexité locale dans les variétés kähleriennes
• Nonexistence of smooth Levi-flat hypersurfaces in complex projective spaces of dimension \(\geq 3\)
• On the failure of the Poincaré lemma for the \({\bar\partial}_M\) complex
• On the sample paths of the symmetric stable processes in spaces
• Global Regularity for $\overline \partial$ on Weakly Pseudo-Convex Manifolds
• Résolution du ∂- pour les Courants Prolongeables
• Regularity of \(\overline{\partial}\) on pseudoconcave compacts and applications

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