Poincaré inequality and Hajłasz-Sobolev spaces on nested fractals (Q2856667)
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scientific article; zbMATH DE number 6221016
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Poincaré inequality and Hajłasz-Sobolev spaces on nested fractals |
scientific article; zbMATH DE number 6221016 |
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30 October 2013
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nested fractals
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Hajłasz-Sobolev space
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Poincaré inequality
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Poincaré inequality and Hajłasz-Sobolev spaces on nested fractals (English)
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The authors study nested fractals with the so-called nondegenerate harmonic structure. They prove a Poincaré inequality. Moreover, the paper contains an interesting discussion of Sobolev spaces on fractals.
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