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

2011/03/13 by Evgeny Sevost'yanov, Sevost'yanov, Evgeny
Mathematics · #30C62 #30C65 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:30C62 #msc:30C65

paper · pdf · doi:10.48550/arxiv.1103.2547

14 pages

arxiv created 2012/04/07 · arxiv updated 2012/04/10

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^-1, ACP and ACP^-1 -- properties are studied in the work. Under some additional conditions, it is showed that the modulus of such mappings f can be more than each degree of logarithmic function at every neighborhood of the isolated essential singularity of f.

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