Estimates of the Carathéodory metric on the symmetrized polydisc

DOI10.1016/j.jmaa.2007.09.072zbMath1135.32014arXivmath/0608496OpenAlexW2082497351MaRDI QIDQ2474922

Nikolai Nikolov, Włodzimierz Zwonek, Pascal J. Thomas, Peter Pflug

Publication date: 6 March 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608496

zbMATH Keywords

Lempert functionsymmetrized polydiscCarathéodory distance and metricKobayashi distance and metric

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45)

Related Items (6)

A Schwarz lemma for the symmetrized polydisc via estimates on another family of domains ⋮ Green functions of the spectral ball and symmetrized polydisk ⋮ Algebraic properties of Toeplitz operators on the symmetrized polydisk ⋮ A Schwarz lemma for two families of domains and complex geometry ⋮ Characterizations of the symmetrized polydisc via another family of domains ⋮ Geometric properties of domains related to \(\mu\)-synthesis

Cites Work

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• THE SYMMETRIZED BIDISC AND LEMPERT'S THEOREM
• On the spectral Nevanlinna–Pick problem
• A note on Costara's paper
• The Lempert function of the symmetrized polydisc in higher dimensions is not a distance
• Invariant distances and metrics in complex analysis–-revisited

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