On local properties of spatial generalized quasi-isometries

被引：0

作者：

R. R. Salimov

E. A. Sevost’yanov

机构：

[1] National Academy of Sciences of Ukraine,Institute of Mathematics

[2] Ivan Franko Zhytomyr State University,undefined

来源：

Mathematical Notes | 2017年 / 101卷

关键词：

mappings with bounded and finite distortion; local behavior ofmappings; equicontinuity; bounds for distance distortion;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

An upper bound for the measure of the image of a ball under mappings of a certain class generalizing the class of branched spatial quasi-isometries is determined. As a corollary, an analog of Schwarz’ classical lemma for these mappings is proved under an additional constraint of integral character. The obtained results have applications to the classes of Sobolev and Orlicz–Sobolev spaces.

引用

页码：704 / 717

页数：13

共 18 条

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