Sobolev functions on closed subsets of the real line

2017/10/21 by Shvartsman, Pavel
#46E35 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1710.07826

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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