Markov’s inequality in the o-minimal structure of convergent generalized power series

DOI10.1515/advgeom-2012-0007zbMath1271.32014OpenAlexW2009298147MaRDI QIDQ4910049

Rafał Pierzchała

Publication date: 25 March 2013

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom-2012-0007

zbMATH Keywords

Markov inequalityo-minimal structureSiciak extremal functionUPC condition

Mathematics Subject Classification ID

Semi-analytic sets, subanalytic sets, and generalizations (32B20) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Model theory of ordered structures; o-minimality (03C64)

Related Items (11)

Semialgebraic sets and the Łojasiewicz-Siciak condition ⋮ Markov's inequality and polynomial mappings ⋮ Polynomial inequalities, o-minimality and Denjoy-Carleman classes ⋮ 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 ⋮ Smooth parametrizations in dynamics, analysis, diophantine and computational geometry ⋮ ŁS condition for filled Julia sets in \(\mathbb {C}\) ⋮ Approximation of holomorphic functions on compact subsets of \(\mathbb R^N\) ⋮ An estimate for the Siciak extremal function -- subanalytic geometry approach ⋮ Remez-type inequality on sets with cusps

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