A Burns-Krantz type theorem for domains with corners

Details A Burns-Krantz type theorem for domains with corners A Burns-Krantz type theorem for domains with corners

2005-05-12

arxiv.org/abs/math/0505264v1

Mathematics

Complex Variables

13 pages

Scientific paper

The goal of this paper is twofold. First, to give purely local boundary uniqueness results for maps defined only on one side as germs at a boundary point and hence not necessarily sending any domain to itself and also under the weaker assumption that $f(z)=z+o(|z-p|^3)$ holds only for $z$ in a proper cone in $D$ with vertex $p$. Such results have no analogues in one complex variable in contrast to the situation when a domain is preserved. And second, to extend the above results from boundaries of domains to submanifolds of higher codimension.

Affiliated with

Also associated with

No associations

Rating

A Burns-Krantz type theorem for domains with corners 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 Burns-Krantz type theorem for domains with corners, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Burns-Krantz type theorem for domains with corners will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-163311