Martin compactification for discrete potential theory and the mean value property

DOI10.1007/BF01048068zbMath0847.31004OpenAlexW2042366778MaRDI QIDQ1904130

Aurel Cornea, Jiří Veselý

Publication date: 24 August 1996

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01048068

zbMATH Keywords

Martin boundaryrestricted mean-value propertyMartin-type compactification

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Martin boundary theory (31C35) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Axiomatic potential theory (31D05) Discrete potential theory (31C20)

Related Items (3)

On the definition and the properties of the principal eigenvalue of some nonlocal operators ⋮ Harnack type inequality for positive solution of some integral equation ⋮ Unnamed Item

Cites Work

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• Potential theory. An analytic and probabilistic approach to balayage
• A zero-one law for a class of random walks and a converse to Gauss' mean value theorem
• A Converse to the Mean Value Theorem for Harmonic Functions
• Harmonic Functions and Mass Cancellation
• Ergodic Theory and Boundaries
• Functions Possessing Restricted Mean Value Properties

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