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

Pavel Shvartsman

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

Pavel Shvartsman

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Abstract

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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BibTeX RIS

Pavel Shvartsman. 2006-01-27. On extensions of Sobolev functions defined on regular subsets of metric measure spaces. https://arxiv.org/abs/math/0601679

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