Holomorphic approximation in \(C^ m\)-norms on totally real compact sets in \({\mathbb{C}}^ n\)

DOI10.1007/BF01455999zbMath0527.32010MaRDI QIDQ786281

Joaquim Bruna, Josep M. Burgués

Publication date: 1984

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163924

zbMATH Keywords

uniform approximationspace of holomorphic functionscompact totally real setHenkin-Ramirez kernels

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Algebraic properties of function spaces in general topology (54C40) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items (3)

Holomorphic approximation and estimates for the \({\bar \partial}\)-equation on strictly pseudoconvex nonsmooth domains ⋮ Removable singularities of CR-functions ⋮ Pointwise multipliers and corona type decomposition in \(BMOA\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Polynomial approximation on graphs
• Uniform approximation on totally real sets
• Approximation by polynomials in two complex variables
• Henkin-Ramirez kernels with weight factors
• Approximation theory on totally real submanifolds
• Uniform approximation in several complex variables
• Ensembles de zéros à la frontière de fonctions analytiques dans des domaines strictement pseudo-convexes
• Holomorphic approximation and hyperfunction theory on a C\(^1\) totally real submanifold of a complex manifold
• Zero sets of non-negative strictly plurisubharmonic functions
• Uniform Approximation on the Graph of a Smooth Map in Cⁿ
• Uniform Approximation on Compact Sets in $\mathsf{C}^n$.
• Approximation Theorems on Differentiable Submanifolds of a Complex Manifold

This page was built for publication: Holomorphic approximation in \(C^ m\)-norms on totally real compact sets in \({\mathbb{C}}^ n\)