Equivalence of the local Markov inequality and a Kolmogorov type inequality in the complex plane

DOI10.1007/s11118-012-9274-0zbMath1272.41009OpenAlexW2113362915MaRDI QIDQ1935427

Leokadia Białas-Cież, Raimondo Eggink

Publication date: 15 February 2013

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-012-9274-0

zbMATH Keywords

Green functionCantor setsholomorphic functionsKolmogorov inequalityMarkov inequalityL-regularity of sets

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (max. 100)

Jackson's inequality in the complex plane and the Łojasiewicz-Siciak inequality of Green's function ⋮ Markov's inequality and polynomial mappings ⋮ Equivalence of the global and local Markov inequalities in the complex plane ⋮ Hölder continuity of the Green function and Markov brothers' inequality ⋮ How to construct totally disconnected Markov sets?

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