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Journal of University of Chinese Academy of Sciences ›› 2023, Vol. 40 ›› Issue (6): 721-725.DOI: 10.7523/j.ucas.2022.035

• Research Articles •     Next Articles

Relationships between ΛφBV and BV(q,δ)

GE Ajun1, WANG Heping2, YAN Dunyan1   

  1. 1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
    2. School of Mathematical Sciences, Capital Normal University, Beijing 100048, China
  • Received:2021-11-24 Revised:2022-04-08 Online:2023-11-15
  • Supported by:
    the National Nature Science Foundation of China (11871452)

Abstract: In this note, we obtain the sufficient and necessary conditions for the inclusions ΛφBVBV(q,δ), and BV(q,δ)⊂ΛφBV is false when φ satisfies the Δ2 condition.

Key words: Λφ-bounded variation, generalized Wiener class, embedding

CLC Number: