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On the Local Behavior of the Mappings with Non-Bounded Characteristics

Complex Variables 2012-04-10 v2

Abstract

The present paper is devoted to the study of space mappings, which are more general than quasiregular mappings. The questions of the behavior of differentiable mappings having the so--called N,N, N1,N^{-1}, ACPACP and ACP1ACP^{-1} -- properties are studied in the work. Under some additional conditions, it is showed that the modulus of such mappings ff can be more than each degree of logarithmic function at every neighborhood of the isolated essential singularity of f.f.

Keywords

Cite

@article{arxiv.1103.2547,
  title  = {On the Local Behavior of the Mappings with Non-Bounded Characteristics},
  author = {Evgeny Sevost'yanov},
  journal= {arXiv preprint arXiv:1103.2547},
  year   = {2012}
}

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14 pages