摘要
建立了复Banach空间单位球上α次殆星形映照(双全纯星形映照)族与强α次殆星形映照(强星形映照)族之间的关系式,与此同时也建立了n中有界星形圆形域上α次殆星形映照(双全纯星形映照)族与强α次殆星形映照(强星形映照)族之间的关系式.由此,易由多复变数的α次殆星形映照(双全纯星形映照)构造出强次殆星形映照(强星形映照).
In this paper,a relation between the class of almost starlike mappings of order α（resp.biholo-morphic starlike mappings） and the class of strong and almost starlike mappings of order α（resp.strong starlike mappings） on the unit ball in complex Banach spaces is established,meanwhile,another relation between the class of almost starlike mappings of order α（resp.biholomorphic starlike mappings） and the class of strong and almost starlike mappings of order α（resp.strong starlike mappings） on bounded starlike circular domains in n is also established.Therefore,it is easy to construct strong and almost starlike mappings of order α（resp.strong starlike mappings） from almost starlike mappings of order α（resp.biholomorphic starlike mappings） in several complex variables.
出处
《河南大学学报（自然科学版）》
CAS
北大核心
2010年第6期556-559,共4页
Journal of Henan University:Natural Science
基金
国家自然科学基金资助项目(10971063)
关键词
α次殆星形映照
强α次殆星形映照
双全纯星形映照
强星形映照
almost starlike mapping of order α
strong and almost starlike mapping of order α
biholomorphic starlike mapping
strong starlike mapping
