An example of an open Riemann surface not uniformly large with respect to Green's functions

DOI10.2996/kmj/1138037415zbMath0646.30037OpenAlexW2042244418MaRDI QIDQ1103751

Masahiko Taniguchi

Publication date: 1987

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138037415

zbMATH Keywords

hyperbolic distanceGreen functionopen Riemann surfaceRiemann surface of Parreau-Widom type

Mathematics Subject Classification ID

Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Classification theory of Riemann surfaces (30F20)

Cites Work

• Unnamed Item
• Hardy classes on infinitely connected Riemann surfaces
• On BMO property for potentials on Riemann surfaces
• Continuity of certain differentials on finitely augmented Teichmüller spaces and variational formulas of Schiffer-Spencer's type
• A note on continuity of Green's functions on Riemann surfaces
• On some extension property for BMO functions on Riemann surfaces
• Nielsen extensions of Riemann surfaces

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