Sobolev Peano cubes (Q1001952)
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scientific article; zbMATH DE number 5509681
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sobolev Peano cubes |
scientific article; zbMATH DE number 5509681 |
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Sobolev Peano cubes (English)
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20 February 2009
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The aim of the paper is to investigate a class of compact metric spaces \(X\) for which there exists a continuous surjection \(f: [0,1]^n \to X\) that either is metrically differentiable or belongs to a Sobolev space. The authors prove several theorems which bring light into this problem.
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Sobolev mappings
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Banach and metric spaces
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Carnot groups
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