Standard

Composition Operators Between Sobolev Spaces on Metric Measure Spaces. I. / Sboev, D. A.

в: Siberian Mathematical Journal, Том 66, № 5, 15, 30.09.2025, стр. 1254-1269.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Sboev, DA 2025, 'Composition Operators Between Sobolev Spaces on Metric Measure Spaces. I', Siberian Mathematical Journal, Том. 66, № 5, 15, стр. 1254-1269. https://doi.org/10.1134/S0037446625050155

APA

Sboev, D. A. (2025). Composition Operators Between Sobolev Spaces on Metric Measure Spaces. I. Siberian Mathematical Journal, 66(5), 1254-1269. [15]. https://doi.org/10.1134/S0037446625050155

Vancouver

Sboev DA. Composition Operators Between Sobolev Spaces on Metric Measure Spaces. I. Siberian Mathematical Journal. 2025 сент. 30;66(5):1254-1269. 15. doi: 10.1134/S0037446625050155

Author

Sboev, D. A. / Composition Operators Between Sobolev Spaces on Metric Measure Spaces. I. в: Siberian Mathematical Journal. 2025 ; Том 66, № 5. стр. 1254-1269.

BibTeX

@article{ed586d8366ad4c1b9ad9358d09f02c82,
title = "Composition Operators Between Sobolev Spaces on Metric Measure Spaces. I",
abstract = "We obtain a description of homeomorphisms inducing bounded composition operators between Sobolev spaces whose functions are defined on metric measure spaces.As a consequence, we establish a characterization of quasiconformal mappings in metric measure spaces.",
keywords = "Qp-homeomorphism, 517.54, Sobolev space, composition operator, mapping of finite distortion, metric measure space, quasiconformal mapping, ОПЕРАТОР КОМПОЗИЦИИ, МЕТРИЧЕСКОЕ ПРОСТРАНСТВО С МЕРОЙ, ПРОСТРАНСТВО СОБОЛЕВА, Qp-ГОМЕОМОРФИЗМ, ОТОБРАЖЕНИЕ С КОНЕЧНЫМ ИСКАЖЕНИЕМ, КВАЗИКОНФОРМНОЕ ОТОБРАЖЕНИЕ",
author = "Sboev, {D. A.}",
note = "Sboev D. A. Composition Operators Between Sobolev Spaces on Metric Measure Spaces. I // Siberian Mathematical Journal. – 2025. – Vol. 66. - No. 5. – P. 1254-1269. – DOI 10.1134/S0037446625050155. – EDN QBGLIN. The work was supported by the Mathematical Center in Akademgorodok under agreement 075–15–2025–349 dated April 29, 2025 with the Ministry of Science and Higher Education of the Russian Federation.",
year = "2025",
month = sep,
day = "30",
doi = "10.1134/S0037446625050155",
language = "English",
volume = "66",
pages = "1254--1269",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "Pleiades Publishing",
number = "5",

}

RIS

TY - JOUR

T1 - Composition Operators Between Sobolev Spaces on Metric Measure Spaces. I

AU - Sboev, D. A.

N1 - Sboev D. A. Composition Operators Between Sobolev Spaces on Metric Measure Spaces. I // Siberian Mathematical Journal. – 2025. – Vol. 66. - No. 5. – P. 1254-1269. – DOI 10.1134/S0037446625050155. – EDN QBGLIN. The work was supported by the Mathematical Center in Akademgorodok under agreement 075–15–2025–349 dated April 29, 2025 with the Ministry of Science and Higher Education of the Russian Federation.

PY - 2025/9/30

Y1 - 2025/9/30

N2 - We obtain a description of homeomorphisms inducing bounded composition operators between Sobolev spaces whose functions are defined on metric measure spaces.As a consequence, we establish a characterization of quasiconformal mappings in metric measure spaces.

AB - We obtain a description of homeomorphisms inducing bounded composition operators between Sobolev spaces whose functions are defined on metric measure spaces.As a consequence, we establish a characterization of quasiconformal mappings in metric measure spaces.

KW - Qp-homeomorphism

KW - 517.54

KW - Sobolev space

KW - composition operator

KW - mapping of finite distortion

KW - metric measure space

KW - quasiconformal mapping

KW - ОПЕРАТОР КОМПОЗИЦИИ

KW - МЕТРИЧЕСКОЕ ПРОСТРАНСТВО С МЕРОЙ

KW - ПРОСТРАНСТВО СОБОЛЕВА

KW - Qp-ГОМЕОМОРФИЗМ

KW - ОТОБРАЖЕНИЕ С КОНЕЧНЫМ ИСКАЖЕНИЕМ

KW - КВАЗИКОНФОРМНОЕ ОТОБРАЖЕНИЕ

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UR - https://elibrary.ru/item.asp?id=82944338

UR - https://www.elibrary.ru/item.asp?id=83044507

UR - https://www.mendeley.com/catalogue/86cdde4f-1eac-3181-9c3a-241db06f2bf3/

U2 - 10.1134/S0037446625050155

DO - 10.1134/S0037446625050155

M3 - Article

VL - 66

SP - 1254

EP - 1269

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 5

M1 - 15

ER -

ID: 70299584