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arxiv: 1412.6851 · v2 · pith:XEV6FZKOnew · submitted 2014-12-22 · 🧮 math.CV

On some local properties of space generalized quasiisometries

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keywords mappingsobtainedquasiisometriessomespaceaboveanalogapplicable
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For some class of mappings, which are generalization of space quasiisometries, an upper estimate for a measure of image of a ball is obtained. As consequence, it is obtained one analog of Schwartz lemma for mappings mentioned above. Results of the paper are applicable in Sobolev and Orlicz--Sobolev classes.

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