Sobolev extension by linear operators

DOI10.1090/S0894-0347-2013-00763-8zbMath1290.46027arXiv1205.2525OpenAlexW2076893677MaRDI QIDQ2862635

Arie Israel, Garving K. Luli, Charles L. Fefferman

Publication date: 18 November 2013

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

Full work available at URL: https://arxiv.org/abs/1205.2525

zbMATH Keywords

Sobolev spacelinear extension operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Topological linear spaces of continuous, differentiable or analytic functions (46E10) (C^infty)-functions, quasi-analytic functions (26E10)

Related Items (22)

Locally \(C^{1,1}\) convex extensions of \(1\)-jets ⋮ Extension operators on Sobolev spaces with decreasing integrability ⋮ A bounded linear extension operator for \(L^{2,p}(\mathbb R^2)\) ⋮ \(C^m\) semialgebraic sections over the plane ⋮ Pliability, or the Whitney extension theorem for curves in Carnot groups ⋮ Smooth convex extensions of convex functions ⋮ A mollifier approach to regularize a Cauchy problem for the inhomogeneous Helmholtz equation ⋮ On planar Sobolev \(L_p^m\)-extension domains ⋮ Fractional Orlicz-Sobolev extension/imbedding on Ahlfors \(n\)-regular domains ⋮ Approximate extension in Sobolev space ⋮ Sobolev -spaces on -thick closed subsets of ⋮ Nonnegative \(\mathrm C^2(\mathbb R^2)\) interpolation ⋮ Sobolev \(L_p^2\)-functions on closed subsets of \(\mathbb R^2\) ⋮ A Hermite extension method for numerical differentiation ⋮ Extension criteria for homogeneous Sobolev spaces of functions of one variable ⋮ Whitney-type extension theorems for jets generated by Sobolev functions ⋮ Prescribing tangent hyperplanes to $C^{1,1}$ and $C^{1,\omega}$ convex hypersurfaces in Hilbert and superreflexive Banach spaces ⋮ NORMING SETS AND RELATED REMEZ-TYPE INEQUALITIES ⋮ The structure of Sobolev extension operators ⋮ \(C^{1, \omega }\) extension formulas for $1$-jets on Hilbert spaces ⋮ Efficient algorithms for approximate smooth selection ⋮ Quantitative Sobolev extensions and the Neumann heat kernel for integral Ricci curvature conditions

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