One example of the boundary behaviour of biholomorphic transformations

B. L. Fridman
1983 Proceedings of the American Mathematical Society  
Two biholomorphically equivalent domains S2" Í22 c C2 with piecewise smooth boundaries and with the following property are constructed. If F: 01 -» Í22 is any biholomorphic transformation then neither F nor F~' can be extended continuously to the boundary.
doi:10.1090/s0002-9939-1983-0712627-8 fatcat:eknk52tdvfhibjmv57qf3l66di