Problem 1792
Show that domains \(\displaystyle r_1<|z|<R_1\) and \(\displaystyle r_2<|z|<R_2\) are biholomorphic if and only if \(\displaystyle \displaystyle\frac{R_1}{r_1}=\frac{R_2}{r_2}\). Difficulty: 9. |
Problem 1791
Is there a Caratheodory type theorem for conformal bijections between domains that are not simply connected and whose boundaries are a union of finitely many Jordan curves? Difficulty: 10. |
Supported by the Higher Education Restructuring Fund allocated to ELTE by the Hungarian Government |