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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.

In: Russian Mathematics, Vol. 68, No. 3, 03.2024, p. 70-75.

Research output: Contribution to journal › Article › peer-review

Harvard

Vodopyanov, SK & Sboev, DA 2024, 'Lower Semicontinuity of Distortion Coefficients for Homeomorphisms of Bounded (1, σ)-Weighted (q, p)-Distortion on Carnot Groups', Russian Mathematics, vol. 68, no. 3, pp. 70-75. https://doi.org/10.3103/S1066369X24700208

APA

Vodopyanov, S. K., & Sboev, D. A. (2024). Lower Semicontinuity of Distortion Coefficients for Homeomorphisms of Bounded (1, σ)-Weighted (q, p)-Distortion on Carnot Groups. Russian Mathematics, 68(3), 70-75. https://doi.org/10.3103/S1066369X24700208

Vancouver

Vodopyanov SK, Sboev DA. Lower Semicontinuity of Distortion Coefficients for Homeomorphisms of Bounded (1, σ)-Weighted (q, p)-Distortion on Carnot Groups. Russian Mathematics. 2024 Mar;68(3):70-75. doi: 10.3103/S1066369X24700208

Author

Vodopyanov, S. K. ; Sboev, D. A. / Lower Semicontinuity of Distortion Coefficients for Homeomorphisms of Bounded (1, σ)-Weighted (q, p)-Distortion on Carnot Groups. In: Russian Mathematics. 2024 ; Vol. 68, No. 3. pp. 70-75.

BibTeX

@article{c73cad4fc21845b3b4e6d9b42bcd242f,
title = "Lower Semicontinuity of Distortion Coefficients for Homeomorphisms of Bounded (1, σ)-Weighted (q, p)-Distortion on Carnot Groups",
abstract = "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.",
keywords = "Carnot group, homeomorphism with bounded -weighted -distortion, lower semicontinuity",
author = "Vodopyanov, {S. K.} and Sboev, {D. A.}",
note = "The work was prepared within the framework of the Russian Science Foundation grant, project No. 23-21-00359.",
year = "2024",
month = mar,
doi = "10.3103/S1066369X24700208",
language = "English",
volume = "68",
pages = "70--75",
journal = "Russian Mathematics",
issn = "1066-369X",
publisher = "Allerton Press Inc.",
number = "3",

}

RIS

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