English

On some local properties of space generalized quasiisometries

Complex Variables 2014-12-31 v2

Abstract

For some class of mappings, which are generalization of space quasiisometries, an upper estimate for a measure of image of a ball is obtained. As consequence, it is obtained one analog of Schwartz lemma for mappings mentioned above. Results of the paper are applicable in Sobolev and Orlicz--Sobolev classes.

Keywords

Cite

@article{arxiv.1412.6851,
  title  = {On some local properties of space generalized quasiisometries},
  author = {Ruslan Salimov and Evgeny Sevost'yanov},
  journal= {arXiv preprint arXiv:1412.6851},
  year   = {2014}
}

Comments

17 pages, in Russian