Approximation of plurisubharmonic functions by multipole Green functions

DOI10.1090/S0002-9947-02-03215-4zbMath1023.32020OpenAlexW1586273456MaRDI QIDQ4787475

Evgeny A. Poletsky

Publication date: 7 January 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-02-03215-4

zbMATH Keywords

approximation theoremZahariuta conjecturepluricomplex multipole Green functions

Mathematics Subject Classification ID

General pluripotential theory (32U15) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Related Items (11)

Projective limits of Poletsky-Stessin Hardy spaces ⋮ Local geodesics for plurisubharmonic functions ⋮ Extendible bases and Kolmogorov problem on asymptotics of entropy and widths of some class of analytic functions ⋮ Extension and approximation ofm-subharmonic functions ⋮ On asymptotics of entropy of a class of analytic functions ⋮ A theorem on the approximation of plurisubharmonic functions in Lelong classes ⋮ A note on the approximation of plurisubharmonic functions ⋮ Weak*-convergence of Monge-Ampère measures ⋮ On Lelong-Bremermann Lemma ⋮ Polynomial convexity, special polynomial polyhedra and the pluricomplex Green function for a compact set in \(\mathbb C^n\) ⋮ Plurisubharmonic approximation and boundary values of plurisubharmonic functions

Cites Work

• Mesures de Monge-Ampère et mesures pluriharmoniques. (Monge-Ampère measures and pluriharmonic measures)
• Prolongement des fonctions holomorphes bornees et métrique de Caratheodory
• Sur une conjecture de Zahariuta et un problème de Kolmogorov
• Extremal plurisubharmonic functions and invariant pseudodistances
• Width asymptotics for a pair of Reinhardt domains
• Mappings of Partially Analytic Spaces
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