On the mean value property of finely harmonic and finely hyperharmonic functions

DOI10.1007/BF01833150zbMath0709.31002OpenAlexW1997327423MaRDI QIDQ921187

Bent Fuglede

Publication date: 1990

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137351

zbMATH Keywords

mean value propertyfine harmonic measurefinely hyperharmonic function

Mathematics Subject Classification ID

Fine potential theory; fine properties of sets and functions (31C40) Higher-dimensional potential theory (31B99) Two-dimensional potential theory (31A99)

Related Items (2)

The Dirichlet problem for \(p\)-minimizers on finely open sets in metric spaces ⋮ Polytopes and the mean value property

Cites Work

• Sur les fonctions finement holomorphes
• Cones of lower semicontinuous functions and a characterisation of finely hyperharmonic functions
• Fine hyperharmonicity without axiom D
• Fonctions harmoniques et fonctions finement harmoniques
• Finely harmonic functions

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