Abstract
This paper studies questions related to the local behavior of almost everywhere differentiable maps with the N, N −1, ACP, and ACP −1 properties whose quasiconformality characteristic satisfies certain growth conditions. It is shown that, if a map of this type grows in a neighborhood of an isolated boundary point no faster than a function of the radius of a ball, then this point is either a removable singular point or a pole of this map.
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Sevost’yanov, E.A. On removable singularities of maps with growth bounded by a function. Math Notes 97, 438–449 (2015). https://doi.org/10.1134/S0001434615030153
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DOI: https://doi.org/10.1134/S0001434615030153