• 제목/요약/키워드: a regular modulus of continuity

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A BMO TYPE CHARACTERIZATION OF WEIGHTED LIPSCHITZ FUNCTIONS IN TERMS OF THE BEREZIN TRANSFORM

  • Cho, Hong-Rae;Seo, Yeoung-Tae
    • 대한수학회논문집
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    • 제21권3호
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    • pp.419-428
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    • 2006
  • The Berezin transform is the analogue of the Poisson transform in the Bergman spaces. Dyakonov characterize the holomorphic weighted Lipschitz function in the unit disk in terms of the Possion integral. In this paper, we characterize the harmonic weighted Lispchitz function in terms of the Berezin transform instead of the Poisson integral.