The Riesz decomposition of finely superharmonic functions

DOI10.1016/j.aim.2007.02.012zbMath1147.31003OpenAlexW1986145447MaRDI QIDQ2642057

Wolfhard Hansen, Stephen J. Gardiner

Publication date: 20 August 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2007.02.012

zbMATH Keywords

harmonic functionirregular boundary point

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Fine potential theory; fine properties of sets and functions (31C40) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (6)

Positive harmonic functions that vanish on a subset of a cylindrical surface ⋮ The Dirichlet problem at the Martin boundary of a fine domain ⋮ Harmonic morphisms applied to classical potential theory ⋮ Martin boundary of a fine domain and a Fatou-Naïm-Doob theorem for finely superharmonic functions ⋮ On the integral representation of finely superharmonic functions ⋮ Sweeping at the Martin boundary of a fine domain

Cites Work

• Martin boundaries of sectorial domains
• Potential theory. An analytic and probabilistic approach to balayage
• Finely harmonic functions
• Minimal Harmonic Functions on Denjoy Domains
• The Martin Boundary of Nta Strips
• Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.
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