Proper holomorphic mappings between symmetrized ellipsoids |
| |
| Authors: | Paweł Zapałowski |
| |
| Institution: | 1.Institute of Mathematics,Jagiellonian University,Kraków,Poland |
| |
| Abstract: | We characterize the existence of proper holomorphic mappings in the special class of bounded (1, 2, . . . , n)-balanced domains in
\mathbb Cn,{\mathbb C^n,} called the symmetrized ellipsoids. Using this result we conclude that there are no non-trivial proper holomorphic self-mappings
in the class of symmetrized ellipsoids. We also describe the automorphism groups of these domains. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
