Hartogs-type extension for tube-like domains in C 2
2014
InthispaperweconsidertheHartogs-typeextensionproblemforunbounded domains in C 2 . An easy necessary condition for a domain to be of Hartogs-type is that there is no a closed (in C 2 ) complex variety of codimension one in the domain which is given by a holomorphic function smooth up to the boundary. The question is, how far this necessary condition is from the sufficient one? To show how complicated this question is, we give a class of tube-like domains which contain a complex line in the boundary which are either of Hartogs-type or not, depending on how the complex line is positioned with respect to the domain.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
22
References
0
Citations
NaN
KQI