ON SOME SUFFICIENT CONDITIONS FOR UNIVALENCE IN COMPLEX BANACH SPACES

Hidetaka Hamada, Gabriela Kohr, Piotr Liczberski
2000 Demonstratio Mathematica  
In this paper, we will consider some sufficient conditions for locally biholomorphic mappings defined in the unit ball in complex Banach spaces to be biholomorphic and to have $-like images. As a corollary, we obtain some sufficient condition for locally biholomorphic mappings to be starlike mappings. 1991 Mathematics Subject Classification: 32A, 32H, 30C45.
doi:10.1515/dema-2000-0211 fatcat:y4xfkvybk5bbxflm7pk6zayca4