Extension of functions, which are traces of functions belonging to \(H_ k^{\phi}\) on an arbitrary subset of the line

DOI10.1007/BF01917638zbMath0596.41049MaRDI QIDQ1078454

I. A. Shevchuk

Publication date: 1984

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

zbMATH Keywords

tracesmoduli of continuity

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (2)

Extension criteria for homogeneous Sobolev spaces of functions of one variable ⋮ One estimate for divided differences and its applications

Cites Work

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• On functions with bounded \(n\)-th differences
• The trace of the Zygmund class \(\Lambda _ k(R)\) to closed sets and interpolating polynomials
• Minimal elements of \(\text{И}(H;p)\) and conjugacy of Levi complements in finite Chevalley groups.
• Prolongateurs de fonctions différentiables d'une variable réelle
• The Brauer-Manin Obstruction and III[2]
• Differentiable Functions Defined in Closed Sets. I

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