Invariance of the pluricomplex green function under proper mappings with applications

DOI10.1080/17476939808815093zbMath0910.32030OpenAlexW2065979270MaRDI QIDQ3841699

Włodzimierz Zwonek, Armen Edigarian

Publication date: 8 April 1999

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476939808815093

zbMATH Keywords

invariancepluricomplex Green functioncomplex geodesicproper holomorphic function in complex space

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Proper holomorphic mappings, finiteness theorems (32H35) Plurisubharmonic functions and generalizations (32U05)

Related Items (8)

Three-point Nevanlinna–Pick problem in the polydisc ⋮ Computing the Pluricomplex Green Function with Two Poles ⋮ Nevanlinna-Pick interpolation problem in the ball ⋮ Non-linearity of the pluricomplex Green function ⋮ Proper holomorphic mappings in some class of unbounded domains ⋮ Coman conjecture for the bidisc ⋮ Certain non-homogeneous matricial domains and Pick–Nevanlinna interpolation problem ⋮ Open problems in pluripotential theory

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