충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제10권1호
  • /
  • Pages.17-22
  • /
  • 1997
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지

INTEGRAL REPRESENTATION OF SOME BLOCH TYPE FUNCTIONS IN ℂn

  • 투고 : 1997.06.17
  • 발행 : 1997.07.31
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초록

Let B be the open unit ball in the complex space $\mathbb{C}^n$. A holomorphic function $f:B{\rightarrow}C$ which satisfies sup{(1- ${\parallel}\;{\nabla}_zf\;{\parallel}\;{\mid}z{\in}B$} < $+{\infty}$ is called Bloch type function. In this paper, we will find some integral representation of Bloch type functions.

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