INTEGRAL REPRESENTATION OF SOME BLOCH TYPE FUNCTIONS IN ℂn

  • Received : 1997.06.17
  • Published : 1997.07.31

Abstract

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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