科研之友
微信
新浪微博
Facebook
分享链接
摘要
We verify the following conjecture (from Huang et al.): Let Delta(+) denote the upper half disc in C and let gamma = (-1,1) (viewed as an interval in the real axis in C). Assume that F is a holomorphic function on Delta(+) with continuous extension up to gamma such that F maps gamma into {vertical bar Imz vertical bar <= C vertical bar Rez vertical bar}, for some positive C. If vanishes to infinite order at 0 then F vanishes identically. This result is already known to hold true for 0 < <= 1.
- 出版日期2015-7-3
