Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616084 | Journal of Mathematical Analysis and Applications | 2014 | 11 Pages |
Abstract
In this paper, finite type domains with hyperbolic orbit accumulation points are studied. We prove, in case of C2C2, it has to be a (global) pseudoconvex domain, after an assumption of boundary regularity. Moreover, one of the applications will realize the classification of domains within this class, precisely the domain is biholomorphic to one of the ellipsoids {(z,w):|z|2m+|w|2<1,m∈Z+}. This application generalizes [4] in which the boundary is assumed to be real analytic for the case of hyperbolic orbit accumulation points.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Bingyuan Liu,