Boundary behavior of functions on complete manifolds of negative curvature

DOI10.2748/tmj/1178227828zbMath0686.31004OpenAlexW2022764371MaRDI QIDQ1262409

Hitoshi Arai

Publication date: 1989

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227828

zbMATH Keywords

negatively curved manifoldsFatou phenomena

Mathematics Subject Classification ID

Axiomatic potential theory (31D05) Boundary behavior of harmonic functions in higher dimensions (31B25) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (3)

Estimates of harmonic measures associated with degenerate Laplacian on strictly pseudoconvex domains ⋮ Admissible convergence in Cartan-Hadamard manifolds. ⋮ Local Fatou theorem and the density of energy on manifolds of negative curvature

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel
• 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
• Harmonic analysis on negatively curved manifolds. I
• Limites angulaires et limites fines
• Fatou-Naïm-Doob limit theorems in the axiomatic system of Brelot
• Visibility manifolds
• Fine and Nontangential Convergence on an NTA Domain
• Fine Convergence and Admissible Convergence for Symmetric Spaces of Rank One
• Differential equations on riemannian manifolds and their geometric applications
• Positive Harmonic Functions on Lipschitz Domains
• Riemannian geometry.

This page was built for publication: Boundary behavior of functions on complete manifolds of negative curvature