How to construct totally disconnected Markov sets?
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Publication:540720
DOI10.1007/s10231-010-0146-1zbMath1298.41018OpenAlexW2049651643MaRDI QIDQ540720
Marta Kosek, Leokadia Białas-Cież
Publication date: 3 June 2011
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-010-0146-1
attractorsGreen functionMarkov inequalityiterated function systemsexceptional setsLeja-Siciak extremal function
Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Polynomials and rational functions of one complex variable (30C10)
Related Items (3)
Markov's inequality and polynomial mappings ⋮ Equivalence of the local Markov inequality and a Kolmogorov type inequality in the complex plane ⋮ Hölder continuity of the Green function and Markov brothers' inequality
Cites Work
- Markov's inequality and the existence of an extension operator for \(C^{\infty}\) functions
- Markov's inequality and \(C^{\infty}\) functions on sets with polynomial cusps
- Inégalité de Markov dans les ensembles effiles
- Dimension and geometry of sets defined by polynomial inequalities
- Complex dynamics
- Comparing two versions of Markov's inequality on compact sets
- Equivalence of the global and local Markov inequalities in the complex plane
- Iterated function systems, capacity and Green's functions
- Equivalence of the local Markov inequality and a Kolmogorov type inequality in the complex plane
- Generalized iterated function systems, multifunctions and Cantor sets
- A Cantor regular set which does not have Markov's property
- Markov's property of the Cantor ternary set
- On the derivative of a polynomial
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