Lipschitzness of the Lempert and Green functions

DOI10.1090/S0002-9939-09-09794-9zbMath1171.32007arXiv0801.4476MaRDI QIDQ3629426

Peter Pflug, Nikolai Nikolov, Pascal J. Thomas

Publication date: 27 May 2009

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

Full work available at URL: https://arxiv.org/abs/0801.4476

zbMATH Keywords

pluricomplex Green functionLempert functionKobayashi-Royden pseudometricAzukawa pseudometric

Mathematics Subject Classification ID

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

Related Items (1)

Upper bound for the Lempert function of smooth domains

Cites Work

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• On the derivatives of the Lempert functions
• Regularity of the pluricomplex Green function with several poles
• ON THE DEFINITION OF THE KOBAYASHI–BUSEMAN PSEUDOMETRIC
• Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions
• Invariant distances and metrics in complex analysis–-revisited
• Invariant distances and metrics in complex analysis
• The \(C^{1,1}\) regularity of the pluricomplex Green function

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