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A SIMPLE NOTE ON HARTOGS-LAURENT DOMAIN

Oh, Chun-Young

  • Received : 2008.04.04
  • Accepted : 2008.06.02
  • Published : 2008.06.25

Abstract

We shall give a sufficient condition for Hartogs-Laurent domains over a base $\mathbb{C}$ to be taut, and study some properties for Hartogs-Laurent domains related to the $E_*$-extension property.

Keywords

taut;Hartogs-Laurent domain;$E_*$-extension property

References

  1. Do Duc Thai & P. J. Thomas, On $D^\ast$-extension property of the Hartogs domains, Publicacions Mathematiques, 45, No. 2 (2001), 421-429. https://doi.org/10.5565/PUBLMAT_45201_07
  2. M. Jarnicki & P. Pflug, Extension of Holomorphic Functions, de Gruyter Expositions in Mathematics 34, Walter de Gruyter 2000.
  3. N. Nikolov & P. Pflug, Local vs. global hyperconvexity, tautness or k-completenss for unbounded open sets in $C^n$, Ann. Sculoa Norm. Sup. Pisa C1, Sci. (5) Vol. IV (2005) 601-618.
  4. S.-H. Park, On hyperbolicity and tautness of certain Hartogs type domains, Rocky Mountain J. Math., 37, No. 3 (2007), 959-985. https://doi.org/10.1216/rmjm/1182536172