On approximation of affine Baire-one functions

DOI10.1007/BF02787408zbMath1031.35011MaRDI QIDQ1812258

Jan Malý, Michael Smrčka, Jaroslav Lukeš, Jiří Spurný, Ivan Netuka

Publication date: 22 June 2003

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

zbMATH Keywords

Dirichlet problemharmonic functionsChoquet theoryBaire-one functionsaffine functions

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (12)

Exposed sets in potential theory ⋮ On the Dirichlet problem of extreme points for non-continuous functions ⋮ Dirichlet problem and subclasses of Baire-one functions ⋮ Choquet like sets in function spaces. ⋮ Affine Baire functions on Choquet simplices ⋮ Baire classes of Banach spaces and strongly affine functions ⋮ Complementability of spaces of harmonic functions ⋮ The Dirichlet problem for Baire-one functions ⋮ On lattice structure of the space of pointwise limits of harmonic functions ⋮ Pointwise convergence and radial limits of harmonic functions ⋮ Affine Baire-one functions on Choquet simplexes ⋮ THE DIRICHLET PROBLEM FOR BAIRE-TWO FUNCTIONS ON SIMPLICES

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