C^n中单位多圆柱上一类强星形映射齐次展开式第四项的精确估计

本文主要在Cn中单位多圆柱上建立一类强星形映射齐次展开式第四项的精确估计,所得结果揭示多复变数中关于一类强星形映射齐次展开式第四项的Bieberbach猜想成立.从而深化了多复变数已有结果.

On Strongly Quasi-convex Mappings on Unit Ball in C^n

Let B n be the unit ball in C n, we study strongly quasi_convex mappings and starlike mappings on B n. Several problems are discussed: (1) The relationship between strongly quasi_convex mappings and convex mappings(starlike mappings); (2) The second order item coefficients for strongly quasi_convex mappings; (3) The strongly quasi_convex mappings on the unit polydisk.