Suppose that are domains of holomorphy such that whenever . Then is a domain of holomorphy.
This is related to the fact that an increasing union of pseudoconvex domains is pseudoconvex and so it can be proven using that fact and the solution of the Levi problem. Though historically this theorem was in fact used to solve the Levi problem.
- 1 Steven G. Krantz. , AMS Chelsea Publishing, Providence, Rhode Island, 1992.
|Date of creation||2013-03-22 14:31:13|
|Last modified on||2013-03-22 14:31:13|
|Last modified by||jirka (4157)|
|Synonym||increasing union of domains of holomorphy is a domain of holomorphy|