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Topological Properties of Mappings with Finite Distortion on Carnot Groups. / Исангулова, Дарья Васильевна.

In: Siberian Mathematical Journal, Vol. 65, No. 1, 01.2024, p. 48-61.

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

Harvard

Исангулова, ДВ 2024, 'Topological Properties of Mappings with Finite Distortion on Carnot Groups', Siberian Mathematical Journal, vol. 65, no. 1, pp. 48-61. https://doi.org/10.1134/S0037446624010063

APA

Исангулова, Д. В. (2024). Topological Properties of Mappings with Finite Distortion on Carnot Groups. Siberian Mathematical Journal, 65(1), 48-61. https://doi.org/10.1134/S0037446624010063

Vancouver

Исангулова ДВ. Topological Properties of Mappings with Finite Distortion on Carnot Groups. Siberian Mathematical Journal. 2024 Jan;65(1):48-61. doi: 10.1134/S0037446624010063

Author

Исангулова, Дарья Васильевна. / Topological Properties of Mappings with Finite Distortion on Carnot Groups. In: Siberian Mathematical Journal. 2024 ; Vol. 65, No. 1. pp. 48-61.

BibTeX

@article{307630920791488ab3824e11b84919a6,
title = "Topological Properties of Mappings with Finite Distortion on Carnot Groups",
abstract = "We prove thatevery mapping with finite distortion on a Carnot groupis open and discrete provided that it is quasilight and the distortion coefficient is integrable.Also, we estimate the Hausdorff dimension of the preimages of pointsfor mappings on a Carnot groupwith a bounded multiplicity functionand summable distortion coefficient.Furthermore, we give some example showing thatthe obtained estimates cannot be improved.",
keywords = "517.54, Carnot group, discreteness, mapping with finite distortion, openness, quasilightness",
author = "Исангулова, {Дарья Васильевна}",
note = "The work is supported by the Mathematical Center in Akademgorodok under Agreement 075–15–2022–282 with the Ministry of Science and Higher Education of the Russian Federation.",
year = "2024",
month = jan,
doi = "10.1134/S0037446624010063",
language = "English",
volume = "65",
pages = "48--61",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "1",

}

RIS

TY - JOUR

T1 - Topological Properties of Mappings with Finite Distortion on Carnot Groups

AU - Исангулова, Дарья Васильевна

N1 - The work is supported by the Mathematical Center in Akademgorodok under Agreement 075–15–2022–282 with the Ministry of Science and Higher Education of the Russian Federation.

PY - 2024/1

Y1 - 2024/1

N2 - We prove thatevery mapping with finite distortion on a Carnot groupis open and discrete provided that it is quasilight and the distortion coefficient is integrable.Also, we estimate the Hausdorff dimension of the preimages of pointsfor mappings on a Carnot groupwith a bounded multiplicity functionand summable distortion coefficient.Furthermore, we give some example showing thatthe obtained estimates cannot be improved.

AB - We prove thatevery mapping with finite distortion on a Carnot groupis open and discrete provided that it is quasilight and the distortion coefficient is integrable.Also, we estimate the Hausdorff dimension of the preimages of pointsfor mappings on a Carnot groupwith a bounded multiplicity functionand summable distortion coefficient.Furthermore, we give some example showing thatthe obtained estimates cannot be improved.

KW - 517.54

KW - Carnot group

KW - discreteness

KW - mapping with finite distortion

KW - openness

KW - quasilightness

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85184421008&origin=inward&txGid=7c0255dc2c5372a4d35a90a5d3299c7f

UR - https://www.mendeley.com/catalogue/961cf449-5bb2-316a-bc1f-f253b9669aa3/

U2 - 10.1134/S0037446624010063

DO - 10.1134/S0037446624010063

M3 - Article

VL - 65

SP - 48

EP - 61

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 1

ER -

ID: 60030569