Sobolev functions on closed subsets of the real line

Pavel Shvartsman

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arXiv · 1710.07826

Sobolev functions on closed subsets of the real line

Pavel Shvartsman

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Abstract

For each $p>1$ and each positive integer $m$ we use divided differences to give intrinsic characterizations of the restriction of the Sobolev space $W^m_p(R)$ to an arbitrary closed subset of the real line.

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BibTeX RIS

Pavel Shvartsman. 2017-10-21. Sobolev functions on closed subsets of the real line. https://arxiv.org/abs/1710.07826

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