高维 Mbius 变换的 Gehring-Martin 不等式  

Gehring Martin's Inequalities of M bius Transformations for n Dimensional Space

作　　者：Nai Bing Department of Applied Mathematics, Shanghai Jiaotong University, China 

出　　处：《上海交通大学学报》1998年第8期107-111,共5页Journal of Shanghai Jiaotong University

摘　　要：利用ｎ维Ｍｏｂｉｕｓ变换的Ｃｌｉｆｏｒｄ矩阵表示，讨论了ｎ维空间的Ｃｌｉｆｏｒｄ矩阵的迹和范数以及弦范数，得到了它们在ｎ维空间上一些不等式及它们间的相互关系．即在平面上它们就是Ｇｅｈｒｉｎｇ－Ｍａｒｔｉｎ不等式及其相互关系．By using the Clifford matrix expression of n dimensional sense preserving M bius transformations, the traces and norms of the Clifford matrix and chordal norms are discussed. Some inequalities about them and the relations of each other are obtained, which are generalizations of Gehring Martin's inequalities and their mutual relations on plane.

关 键 词：CLIFFORD矩阵 迹 MOEBIUS变换 G-M不等式 

分 类 号：O178[理学—数学]