The trace of jet space 𝐽^{𝑘}Λ^{𝜔} to an arbitrary closed subset of ℝⁿ

DOI10.1090/S0002-9947-98-01872-8zbMath0893.46023MaRDI QIDQ4382973

Pavel Shvartsman, Yuri A. Brudnyi

Publication date: 24 March 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finiteness propertyZygmund conditionWhitney's extension theoremlocal polynomial approximationsspace of \(k\)-jetsLipschitz selections of multivalued mappingstrace spaces of smooth functions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (9)

Barycentric selectors and a Steiner-type point of a convex body in a Banach space ⋮ Sharp finiteness principles for Lipschitz selections ⋮ Finiteness principles for smooth selection ⋮ \(C^2\) interpolation with range restriction ⋮ Whitney’s extension problem for multivariate 𝐶^{1,𝜔}-functions ⋮ The Whitney extension problem and Lipschitz selections of set-valued mappings in jet-spaces ⋮ Interpolation of data by smooth nonnegative functions ⋮ Extension of \(C^{m, \omega}\)-smooth functions by linear operators ⋮ Lipschitz selections of set-valued mappings and Helly's theorem

Cites Work

• Étude de quelques algèbres tayloriennes
• Analytic Extensions of Differentiable Functions Defined in Closed Sets
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