On the Whitney problem for weighted Sobolev spaces

DOI10.1134/S1064562417010276MaRDI QIDQ2358604

Sergei Vodop'yanov, Alexander Tyulenev

Publication date: 15 June 2017

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Operator theory (47-XX) Functional analysis (46-XX)

Related Items (4)

Traces of Sobolev spaces on piecewise Ahlfors-David regular sets ⋮ Some porosity-type properties of sets related to the \(d\)-Hausdorff content ⋮ Traces of weighted function spaces: dyadic norms and Whitney extensions ⋮ Restrictions of Sobolev W_p^1(R^2)-spaces to planar rectifiable curves

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• Differentiable Functions Defined in Closed Sets. I
• Besov spaces on closed sets by means of atomic decomposition
• Local approximations and intrinsic characterization of spaces of smooth functions on regular subsets of ℝⁿ

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