Green functions of the spectral ball and symmetrized polydisk

DOI10.1016/J.JMAA.2010.11.020zbMath1213.32019arXiv1007.3162OpenAlexW2093607559MaRDI QIDQ629221

Nguyen Van Trao, Włodzimierz Zwonek, Pascal J. Thomas

Publication date: 8 March 2011

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

Full work available at URL: https://arxiv.org/abs/1007.3162

zbMATH Keywords

pluricomplex Green functioninvariant distancesspectral ballsymmetrized polydisk

Mathematics Subject Classification ID

Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Related Items (5)

Lifting maps from the symmetrized polydisc in small dimensions ⋮ A Schwarz lemma for the symmetrized polydisc via estimates on another family of domains ⋮ 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

Cites Work

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• Discontinuity of the Lempert function of the spectral ball
• Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions
• THE SYMMETRIZED BIDISC AND LEMPERT'S THEOREM
• Remarks on the pluricomplex Green function
• The Lempert function of the symmetrized polydisc in higher dimensions is not a distance
• Invariant distances and metrics in complex analysis

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