摘要
In this paper,we first establish several sharp inequalities of homogeneous expansion for biholomorphic quasi-convex mappings of type B and order a on the unit ball E in a complex Banach space X by applying the method and technique of complex analysis.Then,as the application of these sharp inequalities,we derive the sharp estimate of third homogeneous expansions for the above mappings defined on the unit polydisk U^n in C^n.
In this paper, we first establish several sharp inequalities of homogeneous expansion for biholomorphic quasi-convex mappings of type B and order α on the unit ball E in a complex Banach space X by applying the method and technique of complex analysis. Then, as the application of these sharp inequalities, we derive the sharp estimate of third homogeneous expansions for the above mappings defined on the unit polydisk U^n in C^n.
作者
Mingsheng LIU
Fen WU
Yan YANG
刘名生;吴芬;杨燕(School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China;School of Mathematics(Zhuhai), Sun Yat-Sen University, Zhuhai 519080, China)
基金
supported by Guangdong Natural Science Foundation(2018A030313508)
Science and Technology Program of Guangzhou,China(201804010171)
