Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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HOLOMORPHIC FUNCTIONS SATISFYING MEAN LIPSCHITZ CONDITION IN THE BALL

  • Kwon, Ern-Gun (DEPARTMENT OF MATHEMATICS EDUCATION ANDONG NATIONAL UNIVERSITY) ;
  • Koo, Hyung-Woon (DEPARTMENT OF MATHEMATICS KOREA UNIVERSITY) ;
  • Cho, Hong-Rae (DEPARTMENT OF MATHEMATICS PUSAN NATIONAL UNIVERSITY)
  • Published : 2007.07.30
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Abstract

Holomorphic mean Lipschitz space is defined in the unit ball of $\mathbb{C}^n$. The membership of the space is expressed in terms of the growth of radial derivatives, which reduced to a classical result of Hardy and Littlewood when n = 1. The membership is also expressed in terms of the growth of tangential derivatives when $n{\ge}2$.

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References

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