English

On Sobolev's mappings on Riemann surfaces

Complex Variables 2016-10-18 v5

Abstract

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

Keywords

Cite

@article{arxiv.1604.00280,
  title  = {On Sobolev's mappings on Riemann surfaces},
  author = {Vladimir Ryazanov and Sergei Volkov},
  journal= {arXiv preprint arXiv:1604.00280},
  year   = {2016}
}

Comments

24 pages, in English

R2 v1 2026-06-22T13:23:21.681Z