Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ALGEBRAICITY OF PROPER HOLOMORPHIC MAPPINGS

  • CHUNG, YOUNG-BOK (Dept. of Mathematics, Chonnam National University)
  • Received : 1999.02.04
  • Published : 1999.07.30
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Abstract

Suppose that ${\Omega}$ is a bounded domain with $C^{\infty}$ smooth boundary in the plane whose associated Bergman kernel, exact Bergman kernel, or $Szeg{\ddot{o}}$ kernel function is an algebraic function. We shall prove that any proper holomorphic mapping of ${\Omega}$ onto the unit disc is algebraic.

Keywords

Acknowledgement

Supported by : GARC

References

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