拟共形映射的唯一极值问题  

The Unique Extremal Question of Quasiconformal Mappings

作　　者：宋颖[1] 郭文彬[1] 王新华[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《聊城大学学报（自然科学版）》2007年第3期28-31,共4页Journal of Liaocheng University:Natural Science Edition

摘　　要：拟共形映射的极值问题是拟共形映射理论中的重要课题,将考虑曲面R=Ui∈IRi上的极值问题,其中每个Ri为双曲Riemman曲面,Ri∩Rj=,i≠j,I为可数非空指标集.我们将把经典情形极值问题的几个重要结果推广到我们要研究的空间R上来.Extremal mappings is the main topics in the theory of quasiconformal mappings. In this paper, we consider the extremal mappings on the surface R=URi i∈I,, where every Ri is a hyperbolic Riemann surface,Ri∩Rj=φ,i≠j,I is a non-empty index set. Some results on extremal mappings in the classical quasiconformal mappings are extended to this surface R.

关 键 词：拟共形映射 极值映射 Riemman曲面 

分 类 号：O174.51[理学—数学]