Markov's inequality and the existence of an extension operator for C ∞ functions

Keywords

Mathematics, Extension (predicate logic), Embedding, Markov chain, Discrete mathematics

References

• Ideals of differentiable functionsBernard Malgrange — 1966
• Extension of C^∞ functions from sets with polynomial cuspsWiesław Pawłucki, W. Pleśniak — 1988
• Extremal plurisubharmonic functions in C^NJózef Sičiak — 1981
• Invariance of the -regularity of compact sets in ^ under holomorphic mappingsW. Pleśniak — 1978
• Markov's inequality andC∞ functions on sets with polynomial cuspsWiesław Pawłucki, W. Pleśniak — 1986
• Fortsetzungen von C∞-Funktionen, welche auf einer abgeschlossenen Menge in ℝn definiert sindMichael Tidten — 1979
• On some extremal functions and their applications in the theory of analytic functions of several complex variablesJózef Sičiak — 1962
• Idéaux de fonctions différentiables. IIJean-Claude Tougeron, Jean Merrien — 1970
• Invariance of the L-Regularity of Compact Sets in C N Under Holomorphic MappingsW. Plesniak — 1978
• Approximation and Extension of C ∞ Functions Defined on Compact Subsets of ℂ nW. Pawłucki, W. Plesniak — 1989

Cited by

• Asymptotic Bernstein type inequalitiesNagy Béla — 2006
• A compact set without Markov's property but with an extension operator for C^∞-functionsAlexander Goncharov — 1996
• Markov inequality on sets with polynomial parametrizationMirosław Baran — 1994
• Markov's property of the Cantor ternary setLeokadia Białas — 1993
• Wiener's type regularity criteria on the complex planeJózef Sičiak — 1997
• Characterization of compact subsets of algebraic varieties in terms of Bernstein type inequalitiesMirosław Baran, W. Pleśniak — 2000
• H\"older continuity of pluricomplex Green function and Markov brothers' inequalityMirosław Baran, Leokadia Białas-Cież — 2013
• Iteration of Analytic MultifunctionsMaciej Klimek — 2001
• Bernstein and van der Corput-Schaake type inequalities on semialgebraic curvesMirosław Baran, W. Pleśniak — 1997
• Markov’s inequality and polynomial mappingsRafał Pierzchała — 2016
• Several Complex Variables in PolandJan Wiegerinck — 2012
• Tame linear extension operators for smooth Whitney functionsLeonhard Frerick, Enrique Jordá, Jochen Wengenroth — 2011
• Sobolev-Gagliardo-Nirenberg and Markov type inequalities on subanalytic domainsLen Bos, Pierre D. Milman — 1995
• Extension of Functions with ω-Rapid Polynomial ApproximationUwe Franken — 1995
• Nearly optimal meshes in subanalytic setsW. Pleśniak — 2012
• Cauchy-Poisson transform and polynomial inequalitiesMirosław Baran — 2009
• Multivariate Bernstein and Markov inequalitiesZ. Ditzian — 1992
• Generalized Padé-type approximants to continuous functionsNicholas J. Daras — 2005
• On local behavior of holomorphic functions along complex submanifolds of ℂNAlexander Brudnyi — 2007
• Dimension and geometry of sets defined by polynomial inequalitiesHans Wallin, Peter Wingren — 1992

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