A local extension theorem for proper holomorphic mappings in C^2

Details A local extension theorem for proper holomorphic mappings in C^2 A local extension theorem for proper holomorphic mappings in C^2

2002-09-30

arxiv.org/abs/math/0209411v1

Mathematics

Complex Variables

18 pages

Scientific paper

Let f be a proper holomorphic mapping between bounded domains D and D' in C^2. Let M, M' be open pieces on the boundaries of D and D' respectively, that are smooth, real analytic and of finite type. Suppose that the cluster set of M under f is contained in M'. It is shown that f extends holomorphically across M. This can be viewed as a local version of the Diederich-Pinchuk extension result for proper mappings in C^2.

Affiliated with

Also associated with

No associations

Rating

A local extension theorem for proper holomorphic mappings in C^2 does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A local extension theorem for proper holomorphic mappings in C^2, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A local extension theorem for proper holomorphic mappings in C^2 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-694141