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arxiv: math/0601679 · v1 · submitted 2006-01-27 · 🧮 math.FA

On extensions of Sobolev functions defined on regular subsets of metric measure spaces

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keywords functionsmetricregularsobolevsubsetscharacterizecorrespondingdefined
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We characterize the restrictions of first order Sobolev functions to regular subsets of a homogeneous metric space and prove the existence of the corresponding linear extension operator.

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