Extension of smooth functions from finitely connected planar domains (Q1589349)
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scientific article; zbMATH DE number 1542100
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extension of smooth functions from finitely connected planar domains |
scientific article; zbMATH DE number 1542100 |
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Extension of smooth functions from finitely connected planar domains (English)
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11 December 2000
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The main aim of this paper is to prove the follwing assertion: Let \(\Omega\) be a connected, bounded, finitely connected planar domain. The restriction operator for the Sobolev spaces \(W^k_\infty (R^2)\) to \(W^k_\infty (\Omega)\) is surjective if, and only if, \(\Omega\) is Whitney-regular.
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Sobolev spaces
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restriction operator
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surjective
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Whitney-regular
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0.88493574
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0.8775177
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0.87592065
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0.87587017
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0.8728766
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