复Banach空间单位球上一类星形映照子族齐次展开式的精确估计  

The Sharp Estimates of the Homogeneous Expansions for a Subclass of Starlike Mappings on the Unit Ball of a Complex Banach Space

作　　者：周静 刘小松 

机构地区：[1]岭南师范学院数学与统计学院,广东湛江524048

出　　处：《岭南师范学院学报》2017年第3期21-31,共11页Journal of Lingnan Normal University

基　　金：广东省自然科学基金项目(2014A030307016)

摘　　要：本文建立了复Banach空间的单位球上一类星形映照子族第三项、第四项及第五项齐次展开式的精确估计,所得结果能回到单复变数的经典结论,从而丰富了多复变数Bieberbach猜想的研究.In this paper, the sharp estimates of the third, fourth and fifth homogeneous expansions for a subclass of starlike mappings on the unit ball of a complex Banach space are established, and the results can reduce to the classical conclusion of one complex variables. Hence, the study of Bieberbach conjecture of several complex variables are enriched.

关 键 词：复Banach空间单位球 齐次展开式 精确估计 

分 类 号：O174.56[理学—数学]