保向同胚映射的径向连续性  

The Radial Continuity of Orientation-preserving Maps

作　　者：李淑龙[1] 苏伟旭[1] 刘立新[1] 

机构地区：[1]中山大学数学与计算科学学院,广东广州510275

出　　处：《中山大学学报（自然科学版）》2008年第1期13-15,共3页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家自然科学基金资助项目(10371078)

摘　　要：研究了复平面上保向同胚映射的径向绝对连续性.利用Rengel不等式,证明了在一定模条件下,复平面到自身的保向同胚映射在几乎所有的径向上是绝对连续的(除去原点)。The radial absolutely continuity of the orientation-preserving homeomorphisms on the complex plane is studied. Under a definite modular condition, the orientation-preserving self-homeomorphisms between disks are absolutely continuous on almost every radial （ except any neighborhood of the zero point） are proved by using the Rengel inequality.

关 键 词：共形模 极值长度 绝对连续 

分 类 号：O174.5[理学—数学]