Maximum modulus sets in pseudoconvex boundaries

DOI10.1007/BF02934585zbMath0772.32012OpenAlexW2090995732MaRDI QIDQ1203476

Andrei Iordan

Publication date: 10 February 1993

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02934585

zbMATH Keywords

cone conditionmaximum modulus setsinterpolation manifoldsstrictly pseudoconvex boundaries

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Algebras of holomorphic functions of several complex variables (32A38) Pseudoconvex domains (32T99)

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Cites Work

• Inner functions and boundary values in \(H^\infty(\Omega)\) and \(A(\Omega)\) in smoothly bounded pseudoconvex domains
• Peak sets in weakly pseudoconvex domains
• Properties of peak sets in weakly pseudoconvex boundaries in \({\mathbb{C}}^ 2\)
• Maximum modulus sets
• Caractérisation et propriétés des ensembles localement pics de \(A^\infty(D)\)
• A peak set of Hausdorff dimension \(2n-1\) for the algebra \(A(D)\) in the boundary of a domain \(D\) with \(C^\infty\)-boundary in \(\mathbb C^n\).
• Characterization of global peak sets for \(A^\infty\)(D)
• Extending functions from submanifolds of the boundary
• Ensembles pics pour \(A^\infty(D)\)
• Ensembles pics dans des domaines strictement pseudo-convexes
• Holomorphic approximation and hyperfunction theory on a C\(^1\) totally real submanifold of a complex manifold
• Differentiable interpolation on the polydisc
• Interpolation manifolds for products of strictly pseudoconvex domains
• The Dimension of Peak-Interpolation Sets
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