A Hilbert lemniscate theorem in \(\mathbb C^{ 2 }\)

DOI10.5802/AIF.2411zbMath1152.32015arXivmath/0607574OpenAlexW2742503348MaRDI QIDQ954824

Thomas Bloom, Norman Levenberg, Yurij I. Lyubarskij

Publication date: 18 November 2008

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607574

zbMATH Keywords

logarithmic potentialatomizationsubharmonic functionsMonge-Ampère measure

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Potentials and capacities on other spaces (31C15) Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05)

Related Items (2)

Special polyhedra for Reinhardt domains ⋮ Polynomial convexity, special polynomial polyhedra and the pluricomplex Green function for a compact set in \(\mathbb C^n\)

Cites Work

• A new capacity for plurisubharmonic functions
• The Dirichlet problem for a complex Monge-Ampère equation
• The convergence of Padé approximants to functions with branch points
• Some applications of the Robin function to multivariable approximation theory
• On the definition of the Monge-Ampère operator in \(\mathbb{C}^2\)
• A Dirichlet problem for the complex Monge-Ampère operator in \(\mathcal F(f)\)
• Weak*-convergence of Monge-Ampère measures
• RATIONAL APPROXIMATION AND PLURIPOLAR SETS
• Mappings of Partially Analytic Spaces
• Approximation of subharmonic functions
• Notions of convexity
• On approximation of subharmonic functions
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