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This article is cited in 2 scientific papers (total in 2 papers)
Adherence of the images of points under multivalued quasimöbius mappings
V. V. Aseev Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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.
Keywords:
multivalued mapping, Möbius structure, Möbius space, Ptolemaic semimetric, quasiconformal mapping, quasimöbius mapping, ultrafilter.
Received: 08.10.2019 Revised: 04.02.2020 Accepted: 19.02.2020
Citation:
V. V. Aseev, “Adherence of the images of points under multivalued quasimöbius mappings”, Sibirsk. Mat. Zh., 61:3 (2020), 499–512; Siberian Math. J., 61:3 (2020), 391–402
Linking options:
https://www.mathnet.ru/eng/smj5997 https://www.mathnet.ru/eng/smj/v61/i3/p499
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Abstract page: | 161 | Full-text PDF : | 71 | References: | 27 | First page: | 1 |
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