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 \(\mathbb C^n\).

DOI10.1007/BF01457313zbMath0483.32011OpenAlexW2047549579MaRDI QIDQ1163135

Berit Stensones Henriksen

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/163631

zbMATH Keywords

strictly pseudoconvex domainpeak setpic

Mathematics Subject Classification ID

Algebras of holomorphic functions of several complex variables (32A38) Pseudoconvex domains (32T99) Global boundary behavior of holomorphic functions of several complex variables (32E35)

Related Items

Inner functions and boundary values in \(H^\infty(\Omega)\) and \(A(\Omega)\) in smoothly bounded pseudoconvex domains, A peak set with a maximal Hausdorff dimension on each slice, About boundary values in $A(\Omega)$, Maximum modulus sets in pseudoconvex boundaries, Unnamed Item, Bounded holomorphic functions with given maximum modulus on all circles, Henkin measures, Riesz products and singular sets

Cites Work

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• Ensembles pics pour \(A^\infty(D)\)
• Embedding Strictly Pseudoconvex Domains in Convex Domains
• A PEAK SET FOR THE DISC ALGEBRA OF METRIC DIMENSION 2.5 IN THE THREE-DIMENSIONAL UNIT SPHERE
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)