2020/04/29 by Sevost'yanov, Evgeny
#30C65 #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.2004.14317
We study open-closed discrete mappings that satisfy the weighted estimate of the distortion of modulus of families of paths. It is proved that the mappings mentioned above have a continuous extension into the isolated point of the boundary, provided that the corresponding weight function is integrable, and the cluster set of the mapping at a given point belongs to the boundary of the image under the mapping