Approximation in the Zygmund class

Artur Nicolau, Odí Soler i Gibert

Research output: Contribution to journalArticleResearch

Abstract

© 2019 London Mathematical Society We study the distance in the Zygmund class (Formula presented.) to the subspace (Formula presented.) of functions with distributional derivative with bounded mean oscillation. In particular, we describe the closure of (Formula presented.) in the Zygmund seminorm. We also generalise this result to Zygmund measures on (Formula presented.). Finally, we apply the techniques developed in the article to characterise the closure of the subspace of functions in (Formula presented.) that are also in the classical Sobolev space (Formula presented.), for (Formula presented.).
Original languageEnglish
JournalJournal of the London Mathematical Society
DOIs
Publication statusPublished - 1 Jan 2019

Keywords

  • 26A16
  • 26A24 (primary)

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