LI Shu-long, SU Wei-xu, LIU Li-xin. The Radial Continuity of Orientation-preserving Maps[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2008,47(1):13-15.
LI Shu-long, SU Wei-xu, LIU Li-xin. The Radial Continuity of Orientation-preserving Maps[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2008,47(1):13-15.DOI:
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.