On equicontinuity of some class of mappings, which are quasiconformal in the mean
E.A. Sevost'yanov, A.A. Markysh
TL;DR
This paper investigates the behavior of open discrete mappings that are quasiconformal on average, establishing their equicontinuity (normality) under certain conditions.
Contribution
It proves that classes of mappings quasiconformal in the mean are equicontinuous, advancing understanding of their normality properties.
Findings
Mappings are shown to be equicontinuous.
The class of mappings is proven to be normal.
Results contribute to the theory of quasiconformal mappings.
Abstract
A behavior of open discrete mappings, which are quasiconformal in the mean, is investigated. It is proved that the classes of mappings mentioned above are equicontinuous (normal).
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Taxonomy
TopicsAnalytic and geometric function theory · Differential Equations and Boundary Problems