Cones of lower semicontinuous functions and a characterisation of finely hyperharmonic functions

DOI10.1007/BF01455450zbMath0492.31005OpenAlexW2070587317MaRDI QIDQ1167837

Terence J. Lyons

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/182882

zbMATH Keywords

Choquet boundaryfinely hyperharmonic functionsconvex cone of lower semi-continuous functions

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (3)

On the mean value property of finely harmonic and finely hyperharmonic functions ⋮ Fine hyperharmonicity without axiom D ⋮ Martin boundary of a fine domain and a Fatou-Naïm-Doob theorem for finely superharmonic functions

Cites Work

• Simplicial cones in potential theory
• Harmonic spaces and their potential theory
• Minimum-Stable Wedges of Semicontinuous Functions.
• Recherches Axiomatiques sur un Théorème de Choquet concernant l’Effilement
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