Continuity of extensions of Lipschitz maps
DOI10.1007/s11856-021-2215-0zbMath1500.46059arXiv1904.02993OpenAlexW3207873697MaRDI QIDQ2130513
Publication date: 25 April 2022
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.02993
Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Continuity and differentiation questions (26B05) Extension of maps (54C20) Continuous and differentiable maps in nonlinear functional analysis (46T20) Differentiable maps on manifolds (58C25)
Cites Work
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- Abstract convex optimal antiderivatives
- Sup-inf explicit formulas for minimal Lipschitz extensions for 1-fields on \(\mathbb R^n\)
- A constructive proof of Kirszbraun's theorem
- Continuous extension operators and convexity
- Whitney's extension problem for \(C^m\)
- Extensions of distance reducing mappings to piecewise congruent mappings on \(R^ m\).
- Kirszbraun's theorem and metric spaces of bounded curvature
- Leaves decompositions in Euclidean spaces
- Optimal transport of vector measures
- A sharp form of Whitney's extension theorem
- \(C^m\) extension by linear operators
- Extension theorems for vector valued maps
- Minimal Lipschitz extensions to differentiable functions defined on a Hilbert space
- Whitneyâs extension problem for multivariate đ¶^{1,đ}-functions
- Extending Lipschitz mappings continuously
- Vector-valued optimal Lipschitz extensions
- Fenchel duality, Fitzpatrick functions and the extension of firmly nonexpansive mappings
- Firmly nonexpansive and Kirszbraun-Valentine extensions: a constructive approach via monotone operator theory
- Whitneyâs extension problems and interpolation of data
- Fenchel duality, Fitzpatrick functions and the KirszbraunâValentine extension theorem
- Ăber die zusammenziehende und Lipschitzsche Transformationen
- Book Review: Geometry of isotropic convex bodies
- Bootstrapping Kirszbraun's extension theorem
- On the extension of Lipschitz, Lipschitz-Hölder continuous, and monotone functions
- On a Theorem of Kirzbraun and Valentine
- A Lipschitz Condition Preserving Extension for a Vector Function
- Kirszbraunâs Theorem via an Explicit Formula
- Optimal Transport
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