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arxiv: 1204.1247 · v10 · pith:35BV67IInew · submitted 2012-04-05 · 🧮 math.CV

The Poletskii and V\"{a}is\"{a}l\"{a} inequalities for the mappings with (p, q)--distortion

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keywords inequalitiesmappingspoletskiianaloguesclassdevoteddistortiongeneral
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The present paper is devoted to the study of space mappings, which are more general than quasiregular. The so--called modulus inequalities for some class of mappings are obtained. In particular, the analogues of the well--known Poletskii and V\"{a}is\"{a}l\"{a} inequalities were proved.

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