Rigidity of proper self-mapping on some kinds of generalized Hartogs triangle
The authors consider the proper holomorphic self-mapping of the following domain in \(\mathbb{C}^{n+m}\) \[ \Omega(p,q)= \Biggl\{(z,w)\in \mathbb{C}^{n+m}: \sum^n_{i=1}|z_i|^{2p_i}< \sum^m_{j=1}|w_j|^{2q_j}< 1\Biggr\} \] and show that such mapping is an automorphism of the definite form.
scientific article; zbMATH DE number 1885836
scientific article