登入選單
返回Google圖書搜尋
其他書名
Konci diskov. Del 2
出版Inštitut za matematiko, fiziko in mehaniko, 1986
URLhttp://books.google.com.hk/books?id=b9wltwAACAAJ&hl=&source=gbs_api
註釋We study the boundary behavior of holomorphic maps $f$ from the unit disc $U \subset C$ into $C^N$. We show that under some hypotheses, if $f$ is injective on $U$ and extends continuously to $\bar{U}$, then $f$ is injective on $bU$. Also, if $f$, $g$ are proper holomorphic maps from $U$ to $B_2$ the open unit ball in $C^2$, that are continuous on $\bar{U}$, then, again with some hypotheses, if $f(bU)$ meets $g(bU)$ in a set of positive lenght, the sets $f(U)$ and $g(U)$ are coincide.