On equicontinuity of mappings in a case of variable domains

E. A. Sevost'yanov; S. A. Skvortsov

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arXiv · 1701.04461

On equicontinuity of mappings in a case of variable domains

E. A. Sevost'yanov·S. A. Skvortsov

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Abstract

We study a local behavior of one class of mappings, which are defined in a domain of $n$-measured Euclidean space, in a case, when corresponding images of this domain are variable. Under some conditions on a function defining a behavior of mappings mentioned above, and some restrictions on mapped domains, the equicontinuity of the corresponding family of the mappings in the closure of the initial domain is proved.

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BibTeX RIS

E. A. Sevost'yanov, S. A. Skvortsov. 2017-01-16. On equicontinuity of mappings in a case of variable domains. https://arxiv.org/abs/1701.04461

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