Graphical Limits of Quasimeromorphic Mappings and Distortion of the Characteristic of Tetrads Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2023, Volume: 64, Number: 6, Pages: 1279-1288 Pages count : 10 DOI: 10.1134/s0037446623060034 | ||
| Tags | mapping with bounded distortion, quasiregular mapping, quasimeromorphic mapping, graphical convergence, graphical limit, Ptolemaic characteristic of a tetrad, quasimobius property | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0005 |
Abstract:
We fully describe the form of the graphical limit of a sequence of K-quasimeromorphic mappings of a domain D in Rn which take each of its values at N distinct points at most. For the family of all K-quasimeromorphic mappings of Rn onto itself taking each value at N points at most we establish the presence of a common estimate for the distortion of the Ptolemaic characteristic of generalized tetrads (quadruples of disjoint compact sets).
Cite:
Aseev V.V.
Graphical Limits of Quasimeromorphic Mappings and Distortion of the Characteristic of Tetrads
Siberian Mathematical Journal. 2023. V.64. N6. P.1279-1288. DOI: 10.1134/s0037446623060034 WOS Scopus РИНЦ OpenAlex
Graphical Limits of Quasimeromorphic Mappings and Distortion of the Characteristic of Tetrads
Siberian Mathematical Journal. 2023. V.64. N6. P.1279-1288. DOI: 10.1134/s0037446623060034 WOS Scopus РИНЦ OpenAlex
Original:
Асеев В.В.
Графические пределы квазимероморфных отображений и искажение характеристики тетрад
Сибирский математический журнал. 2023. Т.64. №6. С.1138-1150. DOI: 10.33048/smzh.2023.64.603 РИНЦ
Графические пределы квазимероморфных отображений и искажение характеристики тетрад
Сибирский математический журнал. 2023. Т.64. №6. С.1138-1150. DOI: 10.33048/smzh.2023.64.603 РИНЦ
Dates:
| Submitted: | Apr 4, 2023 |
| Accepted: | Sep 25, 2023 |
| Published print: | Nov 24, 2023 |
| Published online: | Nov 24, 2023 |
Identifiers:
| Web of science: | WOS:001120902100009 |
| Scopus: | 2-s2.0-85178964090 |
| Elibrary: | 64635078 |
| OpenAlex: | W4389379421 |