THE DIRICHLET PROBLEM FOR BAIRE-TWO FUNCTIONS ON SIMPLICES

DOI10.1017/S0004972708001263zbMath1180.46006OpenAlexW2108865311MaRDI QIDQ3624612

Jiří Spurný

Publication date: 30 April 2009

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972708001263

zbMATH Keywords

simplexbarycentric formulastrongly affine functionsBaire-two functions

Mathematics Subject Classification ID

Convex sets in topological linear spaces; Choquet theory (46A55) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (4)

Baire classes of affine vector-valued functions ⋮ Affine Baire functions on Choquet simplices ⋮ Extension of Borel maps with values in non-metrizable spaces ⋮ Baire classes of \(L_{1}\)-preduals and \(C^{*}\)-algebras

Cites Work

• Šilovscher Rand und Dirichletsches Problem
• A solution of the abstract Dirichlet problem for Baire-one functions
• Choquet like sets in function spaces.
• Potential theory. An analytic and probabilistic approach to balayage
• On approximation of affine Baire-one functions
• Der Satz von Choquet als ein abstrakter Spektralsatz und vice versa

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