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Quasiregularity and Multivalued Quasimöbius Property in $ R^{n} $ Full article

Journal Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260
Output data Year: 2026, Volume: 67, Number: 5, Pages: 1031-1039 Pages count : 9 DOI: 10.1134/s0037446626050046
Tags quasiconformality, quasiregularity, quasimeromorphicity, quasim¨obius property, generalized tetrad, Ptolemaic characteristic, multivalued quasim¨obius property
Authors Aseev V.V. 1
Affiliations
1 Sobolev Institute of Mathematics, Novosibirsk, Russia

Funding (1)

1 Министерство науки и высшего образования РФ FWNF-2026-0026

Abstract: The following theorem is proved. For a mapping of domains in Rn to be quasiregular, it suffices that the distortion of the Ptolemaic characteristic of generalized tetrads under the inverse (multivalued) mapping admit an upper bound.
Cite: Aseev V.V.
Quasiregularity and Multivalued Quasimöbius Property in $ R^{n} $
Siberian Mathematical Journal. 2026. V.67. N5. P.1031-1039. DOI: 10.1134/s0037446626050046 WOS Scopus OpenAlex
Original: Асеев В.В.
Квазирегулярность и многозначная квазимёбиусовость в Rn
Сибирский математический журнал. 2026. Т.67. №5. С.806-815. DOI: 10.33048/smzh.2026.67.504
Dates:
Submitted: Oct 6, 2025
Accepted: Jun 15, 2026
Published print: Sep 24, 2026
Published online: Sep 24, 2026
Identifiers:
≡ Web of science: WOS:001885470600019
≡ Scopus: 2-s2.0-105051786718
≡ OpenAlex: W7214166356
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