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Publication . Article . Preprint . 2020

Sobolev functions on closed subsets of the real line

Pavel Shvartsman;
Open Access
Published: 01 Feb 2020 Journal: Journal of Approximation Theory, volume 250, page 105,327 (issn: 0021-9045, Copyright policy )
Publisher: Elsevier BV

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.

41 pages

Subjects by Vocabulary

Microsoft Academic Graph classification: Sobolev space Discrete mathematics Mathematics Divided differences Real line Integer


Applied Mathematics, General Mathematics, Numerical Analysis, Analysis, Mathematics - Functional Analysis, 46E35, Functional Analysis (math.FA), FOS: Mathematics

21 references, page 1 of 3

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