Lower Semicontinuity of Distortion Coefficients for Homeomorphisms of Bounded (1, σ)-Weighted (q, p)-Distortion on Carnot Groups Full article
| Journal |
Russian Mathematics
ISSN: 1066-369X , E-ISSN: 1934-810X |
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| Output data | Year: 2024, Volume: 68, Number: 3, Pages: 70–75 Pages count : 6 DOI: 10.3103/S1066369X24700208 | ||
| Tags | lower semicontinuity, homeomorphism with bounded (1,σ)-weighted (q,p)-distortion, Carnot group | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 23-21-00359 |
Abstract:
In this paper we study the locally uniform convergence of homeomorphisms with bounded (1,σ)-weighted (q,p)-distortion to a limit homeomorphism. Under some additional conditions we prove that the limit homeomorphism is a mapping with bounded (1,σ)-weighted (q,p)-distortion. Moreover, we obtain the property of lower semicontinuity of distortion characteristics of homeomorphisms.
Cite:
Vodopyanov S.K.
, Sboev D.A.
Lower Semicontinuity of Distortion Coefficients for Homeomorphisms of Bounded (1, σ)-Weighted (q, p)-Distortion on Carnot Groups
Russian Mathematics. 2024. V.68. N3. P.70–75. DOI: 10.3103/S1066369X24700208 WOS Scopus РИНЦ OpenAlex
Lower Semicontinuity of Distortion Coefficients for Homeomorphisms of Bounded (1, σ)-Weighted (q, p)-Distortion on Carnot Groups
Russian Mathematics. 2024. V.68. N3. P.70–75. DOI: 10.3103/S1066369X24700208 WOS Scopus РИНЦ OpenAlex
Original:
Водопьянов С.К.
, Сбоев Д.А.
Полунепрерывность снизу коэффициентов искажения гомеоморфизмов с ограниченным (1, σ)-весовым (Q, P)-искажением на группах Карно
Известия высших учебных заведений. Серия: Математика. 2024. №3. С.84-90. DOI: 10.26907/0021-3446-2024-3-84-90 РИНЦ OpenAlex
Полунепрерывность снизу коэффициентов искажения гомеоморфизмов с ограниченным (1, σ)-весовым (Q, P)-искажением на группах Карно
Известия высших учебных заведений. Серия: Математика. 2024. №3. С.84-90. DOI: 10.26907/0021-3446-2024-3-84-90 РИНЦ OpenAlex
Dates:
| Submitted: | Dec 18, 2023 |
| Accepted: | Dec 26, 2023 |
| Published print: | Nov 21, 2024 |
| Published online: | Nov 21, 2024 |
Identifiers:
| Web of science: | WOS:001254798100001 |
| Scopus: | 2-s2.0-85196770351 |
| Elibrary: | 68317644 |
| OpenAlex: | W4399999997 |