Complex manifolds in pseudoconvex boundaries

DOI10.1215/S0012-7094-81-04816-XzbMath0472.32007MaRDI QIDQ1157703

Eric Bedford, John-Erik Fornaess

Publication date: 1981

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

CR manifoldpseudoconvex domaininterpolation setspeak setsmooth construction of disks

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Analytic subsets and submanifolds (32C25) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Pseudoconvex domains (32T99)

Related Items (12)

Analytic discs in conormal bundles to real submanifolds of \(\mathbb C^n\) ⋮ Analytic discs attached to conormal bundles of CR-manifolds ⋮ On noncompactness of the \(\overline{\partial}\)-Neumann problem on pseudoconvex domains in \(\mathbb{C}^3\) ⋮ Hypersurfaces through higher-codimensional submanifolds of \(\mathbb{C}^n\) with preserved Levi-kernel ⋮ De Rham cohomology of manifolds containing the points of infinite type, and Sobolev estimates for the \(\bar \partial\)-Neumann problem ⋮ Analytic discs, plurisubharmonic hulls, and non-compactness of the \(\bar\partial\)-Neumann operator ⋮ Analytic discs in pseudoconvex submanifolds of \(\mathbb C^N\) of higher codimension ⋮ Plurisubharmonic exhaustion functions and almost complex Stein structures ⋮ Microlocal pseudoconvexity and ``edge of the wedge theorem ⋮ Compactness of the \(\overline{\partial}\)-Neumann problem on convex domains ⋮ Peak sets in weakly pseudoconvex domains ⋮ Complex manifolds in \(q\)-convex boundaries

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