Sobolev \(L_p^2\)-functions on closed subsets of \(\mathbb R^2\)
From MaRDI portal
Publication:2445285
DOI10.1016/j.aim.2013.10.017zbMath1322.46024arXiv1210.0590OpenAlexW2962744187MaRDI QIDQ2445285
Publication date: 14 April 2014
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.0590
Related Items (10)
On the Whitney problem for weighted Sobolev spaces ⋮ Locally \(C^{1,1}\) convex extensions of \(1\)-jets ⋮ Smooth convex extensions of convex functions ⋮ On planar Sobolev \(L_p^m\)-extension domains ⋮ Approximate extension in Sobolev space ⋮ Sobolev -spaces on -thick closed subsets of ⋮ 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 ⋮ \(C^{1, \omega }\) extension formulas for $1$-jets on Hilbert spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Étude de quelques algèbres tayloriennes
- Whitney's extension problem for \(C^m\)
- \({\mathcal C}^m\)-norms on finite sets and \({\mathcal C}^m\) extension
- Sobolev \(W_p^1\)-spaces on closed subsets of \(\mathbf R^n\)
- Extension of \(C^{m, \omega}\)-smooth functions by linear operators
- Fitting a \(C^m\)-smooth function to data. II
- Traces of functions of Zygmund class
- Differentiation of integrals in \(\mathbb{R}^n\)
- The Whitney problem of existence of a linear extension operator
- Differentiable functions defined in closed sets. A problem of Whitney
- Lipschitz selections of set-valued mappings and Helly's theorem
- Analytic capacity, rectifiability, Menger curvature and the Cauchy integral
- Barycentric selectors and a Steiner-type point of a convex body in a Banach space
- A sharp form of Whitney's extension theorem
- Fitting a \(C^m\)-smooth function to data. I.
- Fitting a \(C^m\)-smooth function to data. III.
- On the sum of a Sobolev space and a weighted \(L_p\)-space
- \(C^m\) 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
- Sobolev extension by linear operators
- The Whitney extension problem and Lipschitz selections of set-valued mappings in jet-spaces
- Whitney’s extension problems and interpolation of data
- Another Characterization of BMO
- Besov Spaces on Closed Subsets of ℝ n
- Whitney's problem on extendability of functions and an intrinsic metric
- On Lipschitz selections of affine-set valued mappings
This page was built for publication: Sobolev \(L_p^2\)-functions on closed subsets of \(\mathbb R^2\)
