保向同胚映射的径向连续性

The Radial Continuity of Orientation-preserving Maps

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.