Extremal functions for real convex bodies: simplices, strips, and ellipses

DOI10.1007/s00209-021-02891-8OpenAlexW3212387861MaRDI QIDQ2114188

Sione Ma'u

Publication date: 15 March 2022

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

Full work available at URL: https://arxiv.org/abs/1908.07118

Mathematics Subject Classification ID

Pluripotential theory (32Uxx) Generalizations of potential theory (31Cxx) Geometric convexity in several complex variables (32Fxx)

Cites Work

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• Extremal functions for real convex bodies
• Plurisubharmonic functions with logarithmic singularities
• Exterior Monge-Ampère solutions
• The extremal psh for the complement of convex, symmetric subsets of \({\mathbb{R}}^ N\)
• Symmetries and other transformations of the complex Monge-Ampère equation
• The Dirichlet problem for a complex Monge-Ampère equation
• Pluripotential theory for convex bodies in \(\mathbb R^N\)
• Plurisubharmonic extremal functions and complex foliations for the complement of convex sets in \(\mathbf R^ n\)
• Extremal growth of polynomials
• Chebyshev and Robin constants on algebraic curves
• Monge-Ampère measures for convex bodies and Bernstein-Markov type inequalities
• A global domination principle for 𝑃-pluripotential theory
• La métrique de Kobayashi et la représentation des domaines sur la boule
• Robin functions and extremal functions
• Multivariate polynomial approximation in the hypercube

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