A generalization of half-plane mappings to the ball in |
| |
Authors: | Jerry R Muir Jr Ted J Suffridge |
| |
Institution: | Department of Mathematics, University of Scranton, Scranton, Pennsylvania 18510 ; Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506 |
| |
Abstract: | Let be a normalized (, ) biholomorphic mapping of the unit ball onto a convex domain that is the union of lines parallel to some unit vector . We consider the situation in which there is one infinite singularity of on . In one case with a simple change-of-variables, we classify all convex mappings of that are half-plane mappings in the first coordinate. In the more complicated case, when is not in the span of the infinite singularity, we derive a form of the mappings in dimension . |
| |
Keywords: | Biholomorphic convex mapping holomorphic automorphism |
|
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 |
| 点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文 |