A Fatou-type theorem for functions associated with conformal densities on the boundary of a metric tree

DOI10.1007/BF02362633zbMath0901.31005OpenAlexW2014677128MaRDI QIDQ1356283

Athanase Papadopoulos, Michel Coornaert

Publication date: 12 November 1997

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02362633

zbMATH Keywords

Fatou theoremmetric treesconformal density

Mathematics Subject Classification ID

Boundary behavior of harmonic functions in higher dimensions (31B25) Other generalizations (nonlinear potential theory, etc.) (31C45) Groups acting on trees (20E08)

Cites Work

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• The density at infinity of a discrete group of hyperbolic motions
• The limit set of a Fuchsian group
• Patterson-Sullivan measures on the boundary of a hyperbolic space in the sense of Gromov
• Related aspects of positivity in Riemannian geometry