On Semiregular Points of the Martin Boundary

DOI10.2307/2047537zbMath0665.31010OpenAlexW4231731037MaRDI QIDQ3816317

Peter A. Loeb, Aurel Cornea

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047537

zbMATH Keywords

harmonic measurebounded harmonic functionMartin kernelboundary behaviourLipschitz domainsemiregularsymmetric Green functionMartin boundary pointfine neighbourhoodmaximal filter associated with a semiregular pointselfadjoint Brelot harmonic space

Mathematics Subject Classification ID

Martin boundary theory (31C35) Axiomatic potential theory (31D05)

Cites Work

• Unnamed Item
• Unnamed Item
• Sur le rôle de la frontière de R. S. Martin dans la théorie du potentiel
• Šilovscher Rand und Dirichletsches Problem
• Lectures on potential theory. Notes by K. N. Gowrisankaran and M. K. Venkatesha Murthy
• Order and convexity in potential theory: H-cones. In collab. with Herbert Höllein
• Une propriété de la compactification de Martin d'un domaine euclidien
• Compactifications of Martin type of harmonic spaces
• A regular metrizable boundary for solutions of elliptic and parabolic differential equations
• On topologies and boundaries in potential theory. Enlarged ed. of a course of lectures delivered in 1966
• Positive Harmonic Functions on Lipschitz Domains

This page was built for publication: On Semiregular Points of the Martin Boundary