On the Embedding Waterman, Chanturia and Generalized Wiener Classes in the Classes in the Classes H1w

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Abstract

Chanturia, Wang and Akhobadze proved sufficient conditions for the inclusion of Chanturia, Waterman and Generalized Wiener classes, respectively, in the classes H1w In this paper we prove that these conditions are necessary for this inclusion to hold.

Original languageEnglish
Pages (from-to)677-686
Number of pages10
JournalGeorgian Mathematical Journal
Volume10
Issue number4
DOIs
Publication statusPublished - 2003
Externally publishedYes

Keywords

  • Chanturia class
  • generalized Wiener class
  • Waterman class

ASJC Scopus subject areas

  • General Mathematics

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