Fatou and Littlewood related theorems and a convergence property in the R. S. Martin topology

DOI10.1007/BF02571374zbMath0704.31005MaRDI QIDQ1193931

S. Singh

Publication date: 27 September 1992

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

Full work available at URL: https://eudml.org/doc/174255

zbMATH Keywords

harmonic spaceBrelot typeconvergence of the trajectoriesR. S. Martin topology

Mathematics Subject Classification ID

Martin boundary theory (31C35) Potential theory on Riemannian manifolds and other spaces (31C12) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (1)

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

Cites Work

• Hardy classes on infinitely connected Riemann surfaces
• Positive harmonic functions on non-tangentially accessible domains
• Boundary behavior of harmonic functions in non-tangentially accessible domains
• Positive harmonic functions on complete manifolds of negative curvature
• Negatively curved manifolds, elliptic operators, and the Martin boundary
• Principle de Harnack à la frontière et théorème de Fatou pour un opérateur elliptique dans un domaine lipschitzien
• Espaces et lignes de Green
• Minimal Positive Harmonic Functions
• Unnamed Item
• Unnamed Item

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