Invariant metrics and peak functions on pseudoconvex domains of homogeneous finite diagonal type.

DOI10.1007/BF02570831zbMath0735.32018OpenAlexW2079997320MaRDI QIDQ1813040

Gregor Herbort

Publication date: 25 June 1992

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174361

zbMATH Keywords

invariant metricspeak functionspeak pointKobayashi-Royden metricCarathéodory-Reiffen metricCarathéodory and Kobayashi pseudodifferential metricspseudo-convex domains of homogeneous finite diagonal typereal-valued plurisubharmonic function

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Pluriharmonic and plurisubharmonic functions (31C10) Algebras of holomorphic functions of several complex variables (32A38) Pseudoconvex domains (32T99) Global boundary behavior of holomorphic functions of several complex variables (32E35)

Related Items

Positivity and completeness of invariant metrics ⋮ On the invariant differential metrics near pseudoconvex boundary points where the Levi form has corank one ⋮ Unbounded Pseudoconvex Domains in $${\mathbb {C}}^n$$ and Their Invariant Metrics ⋮ Some Problems ⋮ Estimates of invariant metrics on pseudoconvex domains of finite type in \(\mathbb{C}^3\) ⋮ Weighted Boundary Limits of the Generalized Kobayashi-Royden Metrics on Weakly Pseudoconvex Domains ⋮ Singular Kobayashi Metrics and Finite Type Conditions ⋮ Bounds for invariant distances on pseudoconvex Levi corank one domains and applications ⋮ Lower bounds on the Kobayashi metric near a point of infinite type

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