Minimal Lipschitz extensions to differentiable functions defined on a Hilbert space (Q2655444)
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| Language | Label | Description | Also known as |
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| English | Minimal Lipschitz extensions to differentiable functions defined on a Hilbert space |
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Minimal Lipschitz extensions to differentiable functions defined on a Hilbert space (English)
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25 January 2010
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The author generalizes the Lipschitz constant to fields of affine jets and proves that such a field extends to a field of total domain \({\mathbb R}^n\) with the same constant (Theorem 1.1). This result is applied to the functional minimal Lipschitz differential extension problem in Euclidean spaces.
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minimal Lipschitz extension
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field of affine jets
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Kirszbraun's extension theorem
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Whitney's extension theorem
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