A Boundary Rigidity Problem For Holomorphic Mappings on Some Weakly Pseudoconvex Domains

A Boundary Rigidity Problem For Holomorphic Mappings on Some Weakly Pseudoconvex Domains
复制标题

DOI：
10.4153/cjm-1995-022-3
复制
发表时间：
1995-04
期刊：
Canadian Journal of Mathematics
影响因子：
--
通讯作者：
Xiaojun Huang
Xiaojun Huang
中科院分区：
其他
文献类型：
--
作者：
Xiaojun Huang

文献摘要

被引文献

相似文献

摘要本文研究经典Cartan定理的边界形式。我们证明了对于某些弱伪凸域，当一个全纯自映射在某一边界点与同一映射有足够高的接触阶(这只取决于该区域的几何性质)时，它一定与恒等式重合。
Abstract In this paper, we study the boundary version of the classical Cartan theorem. We show that for some weakly pseudoconvex domains, when a holomorphic self-mapping has a sufficiently high order of contact (which depends only on the geometric properties of the domains) with the identical map at some boundary point, then it must coincide with the identity.