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Lower Semicontinuity of Distortion Coefficients for Homeomorphisms of Bounded (1, σ)-Weighted (q, p)-Distortion on Carnot Groups. / Vodopyanov, S. K.; Sboev, D. A.
в: Russian Mathematics, Том 68, № 3, 03.2024, стр. 70-75.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Lower Semicontinuity of Distortion Coefficients for Homeomorphisms of Bounded (1, σ)-Weighted (q, p)-Distortion on Carnot Groups
AU - Vodopyanov, S. K.
AU - Sboev, D. A.
N1 - The work was prepared within the framework of the Russian Science Foundation grant, project No. 23-21-00359.
PY - 2024/3
Y1 - 2024/3
N2 - Abstract: In this paper we study the locally uniform convergence of homeomorphisms with bounded -weighted -distortion to a limit homeomorphism. Under some additional conditions we prove that the limit homeomorphism is a mapping with bounded -weighted -distortion. Moreover, we obtain the property of lower semicontinuity of distortion characteristics of homeomorphisms.
AB - Abstract: In this paper we study the locally uniform convergence of homeomorphisms with bounded -weighted -distortion to a limit homeomorphism. Under some additional conditions we prove that the limit homeomorphism is a mapping with bounded -weighted -distortion. Moreover, we obtain the property of lower semicontinuity of distortion characteristics of homeomorphisms.
KW - Carnot group
KW - homeomorphism with bounded -weighted -distortion
KW - lower semicontinuity
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85196770351&origin=inward&txGid=90802a2ef6af16a0f7d1c47f8c527f58
UR - https://www.mendeley.com/catalogue/adf61db3-7040-3e7f-90f4-cdd10b07f17d/
U2 - 10.3103/S1066369X24700208
DO - 10.3103/S1066369X24700208
M3 - Article
VL - 68
SP - 70
EP - 75
JO - Russian Mathematics
JF - Russian Mathematics
SN - 1066-369X
IS - 3
ER -
ID: 61123802