Measure density and extendability of Sobolev functions (Q951994)
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scientific article; zbMATH DE number 5361878
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Measure density and extendability of Sobolev functions |
scientific article; zbMATH DE number 5361878 |
Statements
Measure density and extendability of Sobolev functions (English)
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5 November 2008
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Summary: We study necessary and sufficient conditions for a domain to be a Sobolev extension domain in the setting of metric measure spaces. In particular, we prove that extension domains must satisfy a measure density condition.
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Sobolev extension
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doubling measure
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