On lightness of one class of mappings in metric spaces
Complex Variables
2015-12-14 v1
Abstract
For mappings in metric spaces satisfying one inequality with respect to modulus of families of curves, there is proved a lightness of preimage under the mapping. It is proved that, the mappings, satisfying estimate mentioned above, are light, whenever a function which corresponds to distortion of families of curves under the mapping, is of finite mean oscillation at every point.
Keywords
Cite
@article{arxiv.1512.03574,
title = {On lightness of one class of mappings in metric spaces},
author = {Evgeny Sevost'yanov and Sergei Skvortsov},
journal= {arXiv preprint arXiv:1512.03574},
year = {2015}
}
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in Russian