References & Citations
Mathematics > Complex Variables
Title: On convergence of a sequence of mappings with inverse modulus inequality to a discrete mapping
(Submitted on 25 Apr 2024)
Abstract: We have studied the mappings that satisfy the Poletsky-type inverse inequality in the domain of the Euclidean space. It is proved that the uniform boundary of the family of such mappings is a discrete mapping. We separately considered domains that are locally connected at their boundary and regular domains in the quasiconformal sense.
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