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arXiv · 1402.3729

On lower order of mappings with finite length distortion

Evgeny Sevost'yanov
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Abstract

For mappings of finite distortion actively investigated last 15--20 years, problems of a so-called lower order are discussed. It is proved that, mappings with finite length distortion $f:D\rightarrow {\Bbb R}^n,$ $n\ge 2,$ which have locally integrable other dilatation in degree $\alpha>n-1,$ and have a finite asymptotic value are of a uniformly lower bounded lower order.

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Evgeny Sevost'yanov. 2014-02-15. On lower order of mappings with finite length distortion. https://arxiv.org/abs/1402.3729

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