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arxiv: 1902.03397 · v3 · pith:SL56TZBDnew · submitted 2019-02-09 · 🧮 math.CV

On Poletsky type inequality for mappings of Riemannian surfaces

classification 🧮 math.CV
keywords mappingsbehaviorboundaryclassconsequencedilatationdistortionestimates
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In this paper, we obtain upper estimates for the distortion of the modulus of families of paths under mappings of the Sobolev class, whose dilatation is locally integrable. As a consequence, theorems on the local and boundary behavior of the indicated mappings are obtained.

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