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arXiv · 1510.06280

On the lightness of the limit of sequence of mappings satisfying some modular inequality

Evgeny Sevost'yanov
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Abstract

A paper is devoted to study of one class of space mappings which are more general than mappings with bounded distortion. It is showed that a locally uniformly limit of a sequence of mappings $f:D\rightarrow {\Bbb R}^n$ of domain $D\subset{\Bbb R}^n,$ $n\geqslant 2,$ satisfying one inequality with respect to $p$-modulus of families of curves, is light. The above statement is a generalization of well-known theorem about openness and discreteness of uniformly limit of a sequence of mappings with bounded distortion.

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Evgeny Sevost'yanov. 2016-01-02. On the lightness of the limit of sequence of mappings satisfying some modular inequality. https://arxiv.org/abs/1510.06280

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