Dirichlet's problem on Green lines and some convergence theorems for Denjoy's domains

DOI10.1007/BF03025719zbMath0789.31002MaRDI QIDQ1319327

V. Pereyra

Publication date: 12 April 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174527

zbMATH Keywords

Martin boundaryFatou type theoremharmonic spaceDenjoy domainsminimal positive harmonic functionsconvergence of Green linesPoisson-Martin kernels

Mathematics Subject Classification ID

Martin boundary theory (31C35) Boundary behavior of harmonic functions in higher dimensions (31B25) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Cites Work

• Positive harmonic functions on complete manifolds of negative curvature
• Une propriété de la compactification de Martin d'un domaine euclidien
• Negatively curved manifolds, elliptic operators, and the Martin boundary
• Fatou and Littlewood related theorems and a convergence property in the R. S. Martin topology
• Espaces et lignes de Green
• Minimal Positive Harmonic Functions
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Dirichlet's problem on Green lines and some convergence theorems for Denjoy's domains