Non-linearity of the pluricomplex Green function

DOI10.1090/S0002-9939-00-05683-5zbMath0969.32014MaRDI QIDQ2701581

Frank Wikström

Publication date: 19 February 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

complex geodesicsLempert functionanalytic discsinvariant distancespluricomplex Green function with multiple poles

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Related Items (5)

Convergence and multiplicities for the Lempert function ⋮ Computing the Pluricomplex Green Function with Two Poles ⋮ The multipole Lempert function is monotone under inclusion of pole sets ⋮ Pluricomplex Green and Lempert functions for equally weighted poles ⋮ Coman conjecture for the bidisc

Cites Work

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• Mesures de Monge-Ampère et mesures pluriharmoniques. (Monge-Ampère measures and pluriharmonic measures)
• Fonction de Green pluricomplexe et lemmes de Schwarz dans les espaces de Banach. (Pluricomplex Green functions and Schwarzian lemmata in Banach spaces)
• The pluricomplex Green function with two poles of the unit ball of \(\mathbb{C}^n\)
• Extremal plurisubharmonic functions and invariant pseudodistances
• Invariance of the pluricomplex green function under proper mappings with applications
• La métrique de Kobayashi et la représentation des domaines sur la boule
• On definitions of the pluricomplex Green function

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