Metrics Associated with Extremal Plurisubharmonic Functions

DOI10.2307/2160572zbMath0935.32028OpenAlexW4244335086MaRDI QIDQ4874099

Maciej Klimek

Publication date: 21 April 1996

Full work available at URL: https://doi.org/10.2307/2160572

zbMATH Keywords

metricsextremal plurisubharmonic functions

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Plurisubharmonic functions and generalizations (32U05)

Related Items (17)

Plurisubharmonic Lyapunov functions ⋮ Complete invariance and compactness of the filled Julia sets of polynomial maps in \( \mathbb {C}^N \) ⋮ On dynamics of asymptotically minimal polynomials ⋮ On the Fourier spectrum of functions on Boolean cubes ⋮ VARIANTS OF A MULTIPLIER THEOREM OF KISLYAKOV ⋮ On the Sičiak extremal function for real compact convex sets ⋮ Strong analyticity of partly filled-in composite Julia sets ⋮ Hölder continuity property of filled-in Julia sets in $\mathbb \{C\}^n$ ⋮ Composite Julia sets generated by infinite polynomial arrays. ⋮ Attractors of compactly generated semigroups of regular polynomial mappings ⋮ Hausdorff–Young-type inequalities for vector-valued Dirichlet series ⋮ Convex hulls of polynomial Julia sets ⋮ On Lagrange polynomials and the rate of approximation of planar sets by polynomial Julia sets ⋮ Pluripotential theory for convex bodies in \(\mathbb R^N\) ⋮ On regular polynomial endomorphisms of \(\mathbb C^2\) without bounded critical orbits ⋮ Hölder exponents for the pluricomplex Green function of Julia type sets ⋮ Plurisubharmonic functions characterized by one-variable extremal functions

Cites Work

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• A new capacity for plurisubharmonic functions
• Markov's inequality and the existence of an extension operator for \(C^{\infty}\) functions
• The extremal psh for the complement of convex, symmetric subsets of \({\mathbb{R}}^ N\)
• Markov's inequality and \(C^{\infty}\) functions on sets with polynomial cusps
• Polynomials in many variables: Real vs complex norms
• Invariant sets under iteration of rational functions
• The Convexity of a Domain and the Superharmonicity of the Signed Distance Function
• Iterated function systems and the global construction of fractals
• Convex Sets and Subharmonicity of the Distance Function
• On Some Extremal Functions and their Applications in the Theory of Analytic Functions of Several Complex Variables
• Extremal plurisubharmonic functions in $C^N$
• Supremum norms for quadratic polynomials

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