On removable singularities of maps with growth bounded by a function

被引:0
|
作者
Sevost'yanov, E. A. [1 ]
机构
[1] Franko Zhitomir State Univ, Zhitomir, Ukraine
关键词
removable singularity; essential singularity; pole; function of bounded growth; Luzin's properties N and N-1; class ACP; class ACP(-1); MAPPINGS;
D O I
10.1134/S0001434615030153
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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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页码:438 / 449
页数:12
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