Prime ends and mappings on Riemann surfaces
It is proved criteria for continuous and homeomorphic extension to the boundary of mappings with finite distortion between domains on the Riemann surfaces by prime ends of Caratheodory.
math.CV↗
arXiv subjects
Sergei Volkov
Publications and source records attributed to Sergei Volkov.
On Sobolev's mappings on Riemann surfaces
In terms of dilatations, it is proved a series of criteria for continuous and homeomorphic extension to the boundary of mappings with finite distortion between regular domains on the Riemann surfaces
math.CV↗