Abstract
The pentablock is a Hartogs domain in C3 over the symmetrized bidisc in C2. The domain is a bounded inhomogeneous pseudoconvex domain, which does not have a C1 boundary. Recently, Agler–Lykova–Young constructed a special subgroup of the group of holomorphic automorphisms of the pentablock, and Kosiński fully described the group of holomorphic automorphisms of the pentablock. The aim of the present study is to prove that any proper holomorphic self-mapping of the pentablock must be an automorphism.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
