Mathematical Notes

, Volume 64, Issue 5, pp 616–621 | Cite as

Embeddings of the classesHω

  • M. V. Medvedeva


In this paper we study functions belonging to the classesVε and ΛBV, which are encountered in the theory of Fourier trigonometric series. Necessary and sufficient conditions for the embedding of the classesHω in the classesVϕ and ABV are obtained.

Key words

Fourier series Hω-class Vϕ--class ΛBV-class embedding of the classesHω modulus of continuity function of Λ-bounded variation 


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Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • M. V. Medvedeva
    • 1
  1. 1.M. V. Lomonosov Moscow State UniversityUSSR

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