An estimate for the Siciak extremal function -- subanalytic geometry approach

DOI10.1016/j.jmaa.2015.05.012zbMath1331.32017OpenAlexW768848096MaRDI QIDQ2352859

Rafał Pierzchała

Publication date: 6 July 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.05.012

zbMATH Keywords

o-minimal structuresemialgebraic setssubanalytic setsŁojasiewicz-Siciak conditionSiciak's extremal function

Mathematics Subject Classification ID

Semi-analytic sets, subanalytic sets, and generalizations (32B20) Model theory of ordered structures; o-minimality (03C64) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

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Semialgebraic sets and the Łojasiewicz-Siciak condition ⋮ On Lagrange polynomials and the rate of approximation of planar sets by polynomial Julia sets ⋮ ŁS condition for filled Julia sets in \(\mathbb {C}\) ⋮ A new constructive and elementary proof of a Bernstein-Walsh theorem, improved to infinite order convergence, for functions \(C^\infty\) in an intricate but smooth two-dimensional real domain ⋮ Łojasiewicz-type inequalities in complex analysis ⋮ Polynomial approximation of \(\overline\partial\)-flat Whitney jets.

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