Iteration of Analytic Multifunctions

DOI10.1017/S0027763000007789zbMath0974.32024OpenAlexW1564896374MaRDI QIDQ2731029

Maciej Klimek

Publication date: 19 September 2001

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000007789

zbMATH Keywords

Julia setsplurisubharmonic functionsMarkov's inequalitypluricomplex Green functionsiteration of polynomials

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Plurisubharmonic functions and generalizations (32U05) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Related Items (8)

Complete invariance and compactness of the filled Julia sets of polynomial maps in \( \mathbb {C}^N \) ⋮ Orthogonal polynomials on generalized Julia sets ⋮ Strong analyticity of partly filled-in composite Julia sets ⋮ Composite Julia sets generated by infinite polynomial arrays. ⋮ Attractors of compactly generated semigroups of regular polynomial mappings ⋮ On Lagrange polynomials and the rate of approximation of planar sets by polynomial Julia sets ⋮ Hölder exponents for the pluricomplex Green function of Julia type sets ⋮ Dynamical analytic multifunctions

Cites Work

• Markov's inequality and the existence of an extension operator for \(C^{\infty}\) functions
• Analytic set-valued functions and spectra
• Hölder continuity property of filled-in Julia sets in $\mathbb \{C\}^n$
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