On biholomorphisms between bounded quasi-Reinhardt domains
On biholomorphisms between bounded quasi-Reinhardt domains
复制标题
有界拟Reinhardt域之间的双全同态
DOI：
10.1007/s10231-015-0492-0
复制
发表时间：
2016
影响因子：
1
通讯作者：
Rong Feng
中科院分区：
文献类型：
--
作者：
Deng Fusheng;Rong Feng
在本文中，我们定义了所谓的拟reinhardt域，并研究了这些域之间的生物全纯态。我们证明了两个定原点的有界拟reinhardt域之间的所有生物全纯是多项式映射，并给出了这种多项式映射度的一致上界。特别地，我们将经典的圆形区域的Cartan线性定理推广到拟reinhardt区域。
In this paper, we define what is called a quasi-Reinhardt domain and study biholomorphisms between such domains. We show that all biholomorphisms between two bounded quasi-Reinhardt domains fixing the origin are polynomial mappings, and we give a uniform upper bound for the degree of such polynomial mappings. In particular, we generalize the classical Cartan’s linearity theorem for circular domains to quasi-Reinhardt domains.