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Adherence of the Images of Points Under Multivalued Quasimöbius Mappings

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Abstract

We continue the study of multivalued mappings with the BAD (bounded angular distortion) property which was initiated in the author’s works in 2018. Using the technique of ultrafilters, we obtain a full description for the mutual adherence domains of the images of points under mappings of BAD class. We exhibit the example that illustrates all possible cases in the general formula for adherence domains.

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Acknowledgment

The author is extremely grateful to the referee who pinpointed a few inaccuracies and misprints.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    V. V. Aseev

Authors
  1. V. V. Aseev
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Correspondence to V. V. Aseev.

Additional information

The work was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project 0314-2019-0007).

Russian Text © The Author(s), 2020, published in Sibirskii Matematicheskii Zhurnal, 2020, Vol. 61, No. 3, pp. 499–512.

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Aseev, V.V. Adherence of the Images of Points Under Multivalued Quasimöbius Mappings. Sib Math J 61, 391–402 (2020). https://doi.org/10.1134/S0037446620030027

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  • DOI: https://doi.org/10.1134/S0037446620030027

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