Localization in fine potential theory and uniform approximation by subharmonic functions

DOI10.1016/0022-1236(82)90085-4zbMath0503.31003OpenAlexW2052886899MaRDI QIDQ1173189

Bent Fuglede

Publication date: 1982

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(82)90085-4

zbMATH Keywords

localizationfine potential theoryP-harmonic spacecountable baseaxiom of dominationuniform approximation by subharmonic functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Approximation by operators (in particular, by integral operators) (41A35) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Banach spaces of continuous, differentiable or analytic functions (46E15) Approximation by other special function classes (41A30)

Related Items (5)

Uniform harmonic approximation on Riemannian manifolds ⋮ Integral representation of fine potentials ⋮ Plurisubharmonic and holomorphic functions relative to the plurifine topology ⋮ Martin boundary of a fine domain and a Fatou-Naïm-Doob theorem for finely superharmonic functions ⋮ On the integral representation of finely superharmonic functions

Cites Work

• Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel
• Integral representation of fine potentials
• Potentiel fin et algèbres de fonctions analytiques. I
• H-cones and potential theory
• Simplicial cones in potential theory
• Simplicial cones in potential theory. II: Approximation theorems
• Fonctions harmoniques et fonctions finement harmoniques
• Finely harmonic functions
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