\(C^{m,\omega}\) extension by bounded-depth linear operators

DOI10.1016/j.aim.2010.01.027zbMath1195.47005OpenAlexW2094943296MaRDI QIDQ981622

Garving K. Luli

Publication date: 1 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.aim.2010.01.027

zbMATH Keywords

linear extension operatorbounded depthWhitney extension\(C^{m,\omega}\) extension

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Dilations, extensions, compressions of linear operators (47A20) Differential spaces (58A40)

Related Items (13)

A large data theory for nonlinear wave on the Schwarzschild background ⋮ A bounded linear extension operator for \(L^{2,p}(\mathbb R^2)\) ⋮ \(C^2(\mathbb{R}^2)\) nonnegative extension by bounded-depth operators ⋮ \(C^{m,\omega}\) extension by bounded-depth linear operators ⋮ On properties of geometric preduals of \({\mathrm C^{k,\omega}}\) spaces ⋮ Algorithms for nonnegative \(\mathrm{C}^2(\mathbb R^2)\) interpolation ⋮ The structure of Sobolev extension operators ⋮ \(C^{1, \omega }\) extension formulas for $1$-jets on Hilbert spaces ⋮ Efficient algorithms for approximate smooth selection ⋮ Differential calculus on topological spaces with weak Markov structure. I ⋮ LONG TIME SOLUTIONS FOR WAVE MAPS WITH LARGE DATA ⋮ Traces of $C^{k}$ functions on weak Markov subsets of $\mathbb R^{n}$ ⋮ Sobolev extension by linear operators

Cites Work

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• Whitney's extension problem for \(C^m\)
• \(C^{m,\omega}\) extension by bounded-depth linear operators
• The structure of linear extension operators for \(C^m\)
• Extension of \(C^{m, \omega}\)-smooth functions by linear operators
• The Whitney problem of existence of a linear extension operator
• A sharp form of Whitney's extension theorem
• \(C^m\) extension by linear operators
• Interpolation and extrapolation of smooth functions by linear operators
• A generalized sharp Whitney theorem for jets
• Whitney’s extension problem for multivariate 𝐶^{1,𝜔}-functions

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