Peak points and peaking functions forP(K)

DOI10.1080/17476933.2010.504845zbMath1272.46041OpenAlexW1966184873MaRDI QIDQ2892043

John M. Jun. Bachar

Publication date: 18 June 2012

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2010.504845

zbMATH Keywords

analytic capacitypeak pointsalgebras of holomorphic functionsalgebras on planar setspeaking criteriauniform function algebras

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Algebras of analytic functions of one complex variable (30H50)

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Cites Work

• A minimal boundary for function algebras
• The representations of linear functionals by measures on sets of extreme points
• Continuously varying peaking functions
• Extreme points in function algebras
• Peak points for algebras of analytic functions
• Bounded analytic functions
• Confromal invariants and function-theoretic null-sets
• THE LINEAR SPAN OF PEAK FUNCTIONS
• The Jordan-Schonflies Theorem and the Classification of Surface
• The analytic capacity of sets in problems of approximation theory
• Boundaries and Peak Points for Banach Function Algebras