Siciak's extremal function in complex and real analysis

DOI10.4064/AP80-0-2zbMath1022.32004OpenAlexW2102275269MaRDI QIDQ4484522

Wiesław Pleśniak

Publication date: 12 June 2003

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap80-0-2

zbMATH Keywords

Julia setspluricomplex Green functionSiciak extremal functionBerstein-Walsh-Siciak inequalityMarkov and Berstein type inequalities

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Semialgebraic sets and related spaces (14P10) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Related Items (12)

Pluricapacity and approximation numbers of composition operators ⋮ Semialgebraic sets and the Łojasiewicz-Siciak condition ⋮ Markov's inequality and polynomial mappings ⋮ Perturbations of Christoffel-Darboux kernels: detection of outliers ⋮ Geometry of holomorphic mappings and Hölder continuity of the pluricomplex Green function ⋮ Siciak's extremal function of non-UPC cusps. I. ⋮ The Łojasiewicz-Siciak condition of the pluricomplex Green function ⋮ Approximation of holomorphic functions on compact subsets of \(\mathbb R^N\) ⋮ Łojasiewicz-type inequalities in complex analysis ⋮ Multivariate Jackson inequality ⋮ An estimate for the Siciak extremal function -- subanalytic geometry approach ⋮ Remez-type inequality on sets with cusps

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