On convergence of a sequence of mappings with inverse modulus inequality to a discrete mapping

E. O. Sevost'yanov; V. A. Targonskii

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arXiv · 2404.17060

On convergence of a sequence of mappings with inverse modulus inequality to a discrete mapping

E. O. Sevost'yanov·V. A. Targonskii

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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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BibTeX RIS

E. O. Sevost'yanov, V. A. Targonskii. 2024-04-25. On convergence of a sequence of mappings with inverse modulus inequality to a discrete mapping. https://arxiv.org/abs/2404.17060

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