On Poletsky type inequality for mappings of Riemannian surfaces

2019/02/09 by Sevost'yanov, E.
#30C65 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1902.03397

Abstract

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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