Dirichlet problem and subclasses of Baire-one functions

DOI10.1007/s11856-018-1707-zzbMath1409.46021OpenAlexW2807427125MaRDI QIDQ1670339

Petr Pošta

Publication date: 5 September 2018

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-018-1707-z

zbMATH Keywords

Choquet theoryDirichlet solutionBaire-one function

Mathematics Subject Classification ID

Axiomatic potential theory (31D05) Boundary behavior of harmonic functions in higher dimensions (31B25) Banach spaces of continuous, differentiable or analytic functions (46E15) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (1)

Approximations by differences of lower semicontinuous and finely continuous functions

Cites Work

• Banach spaces which are M-ideals in their bidual have property (u)
• Simplicial cones in potential theory
• Potential theory. An analytic and probabilistic approach to balayage
• On approximation of affine Baire-one functions
• Integral representation theory. Applications to convexity, Banach spaces and potential theory
• The quasi topology associated with a countably subadditive set function
• On the Dirichlet problem of extreme points for non-continuous functions
• Approximations by differences of lower semicontinuous functions
• A Characterization of Banach Spaces Containing C 0
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