On the best exponent in Markov inequality

DOI10.1007/s11118-012-9290-0zbMath1273.41008OpenAlexW2031914300MaRDI QIDQ1935435

Beata Milówka, Mirosław Baran, Leokadia Białas-Cież

Publication date: 15 February 2013

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

Full work available at URL: https://doi.org/10.1007/s11118-012-9290-0

zbMATH Keywords

Green functionholomorphic mappingsMarkov inequalitybest constantsMarkov exponent

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Best constants in approximation theory (41A44)

Related Items (7)

Invariance of polynomial inequalities under polynomial maps ⋮ Polynomial inequalities, o-minimality and Denjoy-Carleman classes ⋮ Geometry of holomorphic mappings and Hölder continuity of the pluricomplex Green function ⋮ On L^p Markov type inequality for some cuspidal domains ⋮ Hölder continuity of the Green function and Markov brothers' inequality ⋮ Hölder exponents of the Green functions of planar polynomial Julia sets ⋮ On the behaviour of constants in some polynomial inequalities

Cites Work

• Markov's inequality and the existence of an extension operator for \(C^{\infty}\) functions
• Hölder exponents of Green's functions of Cantor sets
• \(L\)-regularity of Markov sets and of \(m\)-perfect sets in the complex plane
• Markov's inequality and \(C^{\infty}\) functions on sets with polynomial cusps
• Markov's inequality on locally Lipschitzian compact subsets of \({\mathbb{R}}^ N\) in \(L^ p\)-spaces
• Inégalité de Markov dans les ensembles effiles
• Extremal plurisubharmonic functions in $C^N$
• Markov inequality on sets with polynomial parametrization
• Markov's Exponent of Compact Sets in ℂ n
• On the derivative of a polynomial
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