Generalization of a theorem of Gonchar

Peter Pflug Fachbereich Mathematik, Carl von Ossietzky Universität Oldenburg Viêt-Anh Nguyên Mathematics Section, The Abdus Salam international centre for theoretical physics

TBD mathscidoc:1701.333094

Arkiv for Matematik, 45, (1), 105-122, 2005.10
Let X and Y be two complex manifolds, let$D$⊂$X$and$G$⊂$Y$be two nonempty open sets, let$A$(resp.$B$) be an open subset of ∂$D$(resp. ∂$G$), and let$W$be the 2-fold cross (($D$∪$A$)×$B$)∪($A$×($B$∪$G$)). Under a geometric condition on the boundary sets$A$and$B$, we show that every function locally bounded, separately continuous on$W$, continuous on$A$×$B$, and separately holomorphic on ($A$×$G$)∪($D$×$B$) “extends” to a function continuous on a “domain of holomorphy” $\widehat{W}$ and holomorphic on the interior of $\widehat{W}$ .
No keywords uploaded!
[ Download ] [ 2017-01-08 20:36:18 uploaded by arkivadmin ] [ 713 downloads ] [ 0 comments ] [ Cited by 5 ]
@inproceedings{peter2005generalization,
  title={Generalization of a theorem of Gonchar},
  author={Peter Pflug, and Viêt-Anh Nguyên},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203618648109903},
  booktitle={Arkiv for Matematik},
  volume={45},
  number={1},
  pages={105-122},
  year={2005},
}
Peter Pflug, and Viêt-Anh Nguyên. Generalization of a theorem of Gonchar. 2005. Vol. 45. In Arkiv for Matematik. pp.105-122. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203618648109903.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved