Extension of $C^{∞}$ functions from sets with polynomial cusps

DOI10.4064/sm-88-3-279-287zbMath0778.26010OpenAlexW820891664MaRDI QIDQ4711418

Wiesław Pleśniak, Wiesław Pawłucki

Publication date: 25 June 1992

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm-88-3-279-287

zbMATH Keywords

uniformly polynomially cuspidal setextension of \(C^ \infty\) functions

Mathematics Subject Classification ID

(C^infty)-functions, quasi-analytic functions (26E10)

Related Items (16)

Mityagin's extension problem. Progress report ⋮ Polynomial inequalities, o-minimality and Denjoy-Carleman classes ⋮ Markov-Type Inequalities with Applications in Multivariate Approximation Theory ⋮ Extension operators for smooth functions on compact subsets of the reals ⋮ Pawłucki–Pleśniak extension operator for non-Markov sets ⋮ Markov's inequality and the existence of an extension operator for \(C^{\infty}\) functions ⋮ Equivalence of the global and local Markov inequalities in the complex plane ⋮ Uniform approximation by discrete least squares polynomials ⋮ Arc-smooth functions on closed sets ⋮ Markov inequality in several variables ⋮ Counter-examples to Markov and Bernstein inequalities ⋮ UPC condition in polynomially bounded o-minimal structures ⋮ A local version of the Pawłucki-Pleśniak extension operator ⋮ Tame linear extension operators for smooth Whitney functions ⋮ Nearly optimal meshes in subanalytic sets ⋮ Remez-type inequality on sets with cusps

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