scientific article

zbMath0579.32023MaRDI QIDQ3701748

Rita Saerens

Publication date: 1984

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1984_4_11_2_177_0

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zbMATH Keywords

strictly pseudoconvex domainunit polydiskinterpolation manifoldpeak-interpolation set

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Algebras of holomorphic functions of several complex variables (32A38)

Related Items

Maximum modulus sets in pseudoconvex boundaries ⋮ Interpolation in weakly pseudoconvex domains in \({\mathbb{C}}^ 2\)

Cites Work

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• Peak sets for polydisc algebras
• 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
• Smooth zero sets and interpolation sets for some algebras of holomorphic functions on strictly pseudoconvex domains
• Boundary properties of holomorphic functions of several complex variables
• Peak-interpolation sets of class \(C^1\)
• Holomorphic Lipschitz functions in balls
• Ensembles pics pour \(A^\infty(D)\)
• Ensembles pics dans des domaines strictement pseudo-convexes
• C\(^k\) approximation by holomorphic functions and \(\bar \partial\)-closed forms on C\(^k\) submanifolds of a complex manifold
• Embedding theorems for commutative Banach algebras
• Algèbres de fonctions et espaces de Hardy
• A General Rudin-Carleson Theorem
• Local Boundary Behavior of Bounded Holomorphic Functions
• Interpolation submanifolds of pseudoconvex manifolds
• Norm preserving interpolation sets for polydisc algebras
• The Dimension of Peak-Interpolation Sets
• THE THEOREMS OF LINDELÖF AND FATOU IN Cⁿ
• H p -Functions on Strictly Pseudoconvex Domains
• A PEAK SET FOR THE DISC ALGEBRA OF METRIC DIMENSION 2.5 IN THE THREE-DIMENSIONAL UNIT SPHERE
• Zero-Sets of Continuous Holomorphic Functions on the Boundary of a Strongly Pseudoconvex Domain
• The Peak Sets of A m
• Boundary values of holomorphic functions
• Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
• Singular integrals and estimates for the Cauchy-Riemann equations
• Peak interpolation sets for some algebras of analytic functions

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