Openness and discreteness of mappings of finite distortion on Carnot groups Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2023, Volume: 64, Number: 6, Pages: 1289-1296 Pages count : 8 DOI: 10.1134/S0037446623060046 | ||
| Tags | mappings of finite distortion, discreteness, openness | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 |
Министерство науки и высшего образования РФ Mathematical Center in Akademgorodok |
075-15-2019-1613, 075-15-2022-281 |
Abstract:
We prove that a mapping of finite distortion f : Ω → G in a domain Ω of an H-type Carnot group G is discrete and open provided that its distortion function K ∈ Lp,loc(Ω) for some p > ν–1. In fact, the proof is suitable for any Carnot group provided it has a ν-harmonic function of the form log ρ where the homogeneous norm ρ is C^2-smooth.
Cite:
Basalaev S.G.
, Vodopyanov S.K.
Openness and discreteness of mappings of finite distortion on Carnot groups
Siberian Mathematical Journal. 2023. V.64. N6. P.1289-1296. DOI: 10.1134/S0037446623060046 WOS Scopus РИНЦ OpenAlex
Openness and discreteness of mappings of finite distortion on Carnot groups
Siberian Mathematical Journal. 2023. V.64. N6. P.1289-1296. DOI: 10.1134/S0037446623060046 WOS Scopus РИНЦ OpenAlex
Original:
Басалаев С.Г.
, Водопьянов С.К.
Открытость и дискретность отображений с конечным искажением на группах Карно
Сибирский математический журнал. 2023. Т.64. №6. С.1151-1159. DOI: 10.33048/smzh.2023.64.604 РИНЦ
Открытость и дискретность отображений с конечным искажением на группах Карно
Сибирский математический журнал. 2023. Т.64. №6. С.1151-1159. DOI: 10.33048/smzh.2023.64.604 РИНЦ
Dates:
| Submitted: | Aug 3, 2023 |
| Accepted: | Sep 25, 2023 |
| Published print: | Nov 24, 2023 |
| Published online: | Nov 24, 2023 |
Identifiers:
| Web of science: | WOS:001120902100012 |
| Scopus: | 2-s2.0-85178939409 |
| Elibrary: | 64477464 |
| OpenAlex: | W4389379490 |