1.Department of Mathematics, University of Science and Technology of China, Hefei 230026, China; 2.Department of Mathematics, Shenzhen University, Shenzhen 518060, China;
Abstract：In this paper, a class of biholomorphic mappings called complete quasiconvex mappings is introduced and studied in bounded convex Reinhardt domains of Cn. Through a detailed analysis of the analytic characterization for this class of mappings, it is shown that this class of mappings contains the convex mappings and is also a subset of the class of starlike mappings. In the special case of the polydisc, a decomposition theorem is established for the complete quasiconvex mappings, which in turn is used to derive an improved sufficient condition for the convex mappings.
出版日期: 2006-03-05
引用本文:
. Complete Quasiconvex Mappings in Polydisc[J]. Frontiers of Mathematics in china, 2006, 1(1): 120-129.
LIU Tai-shun, ZHANG Wen-jun. Complete Quasiconvex Mappings in Polydisc. Front. Math. China, 2006, 1(1): 120-129.
