Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions

DOI10.4064/dm388-0-1zbMath0965.32004OpenAlexW2002437660MaRDI QIDQ4520167

Włodzimierz Zwonek

Publication date: 3 January 2001

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/dm388-0-1

zbMATH Keywords

completenessGreen functionpseudoconvex Reinhardt domains

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Pluriharmonic and plurisubharmonic functions (31C10) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Proper holomorphic mappings, finiteness theorems (32H35) Plurisubharmonic functions and generalizations (32U05) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Related Items (20)

The Bergman metric on a Stein manifold with a bounded plurisubharmonic function ⋮ Duality and approximation of Bergman spaces ⋮ The Serre problem with Reinhardt fibers. ⋮ Proper holomorphic mappings between Reinhardt domains in \(\mathbb C^{2}\) ⋮ -regularity of the Bergman projection on quotient domains ⋮ A Kobayashi and Bergman complete domain without bounded representations ⋮ \(L_h^2\)-functions in unbounded balanced domains ⋮ Convex floating bodies as approximations of Bergman sublevel sets on tube domains ⋮ Kobayashi-Royden pseudometric versus Lempert function ⋮ Green functions of the spectral ball and symmetrized polydisk ⋮ Operator theory on generalized Hartogs triangles ⋮ A note on the hyperconvexity of pseudoconvex domains beyond Lipschitz regularity ⋮ On the Bergman metric of pseudoconvex domains in a complex projective space ⋮ Generalizations of the higher dimensional Suita conjecture and its relation with a problem of Wiegerinck ⋮ Bergman subspaces and subkernels: degenerate \(L^p\) mapping and zeroes ⋮ A remark on the dimension of the Bergman space of some Hartogs domains ⋮ Boundary behavior of the Kobayashi distance in pseudoconvex Reinhardt domains ⋮ Lipschitzness of the Lempert and Green functions ⋮ On the dimension of the Bergman space of some Hartogs domains with higher dimensional bases ⋮ On Bergman completeness of pseudoconvex Reinhardt domains

This page was built for publication: Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions