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.