An explicit solution of the Lipschitz extension problem
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Publication:3542052
DOI10.1090/S0002-9939-08-09457-4zbMath1168.46045OpenAlexW2088888897MaRDI QIDQ3542052
Publication date: 27 November 2008
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09457-4
Lipschitz (Hölder) classes (26A16) Variational principles in infinite-dimensional spaces (58E30) Numerical interpolation (65D05) Continuous and differentiable maps in nonlinear functional analysis (46T20)
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Cites Work
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- Kirszbraun's theorem and metric spaces of bounded curvature
- Extending Lipschitz functions via random metric partitions
- On absolutely minimizing Lipschitz extensions and PDE \(\bigtriangleup_{\infty}(u)=0\)
- Extension of functions satisfying Lipschitz conditions
- Tug-of-war and the infinity Laplacian
- Harmonious Extensions
- An axiomatic approach to image interpolation
- A convergent difference scheme for the infinity Laplacian: construction of absolutely minimizing Lipschitz extensions
- Analytic Extensions of Differentiable Functions Defined in Closed Sets
- Über die zusammenziehende und Lipschitzsche Transformationen
- Extension of range of functions
- A tour of the theory of absolutely minimizing functions
- Stability and Convergence of Extension Schemes to Continuous Functions in General Metric Spaces
- Some applications of Ball’s extension theorem