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arXiv:math/0601679 [math.FA]AbstractReferencesReviewsResources

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

Pavel Shvartsman

Published 2006-01-27Version 1

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.

Categories: math.FA
Subjects: 46E35
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