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Boundary Behavior of -Homeomorphisms Between Metric Measure Spaces. / Vodop’yanov, S. K.; Sboev, D. A.

In: Siberian Advances in Mathematics, Vol. 36, No. 1, 15.06.2026, p. 99-115.

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

Harvard

Vodop’yanov, SK & Sboev, DA 2026, 'Boundary Behavior of -Homeomorphisms Between Metric Measure Spaces', Siberian Advances in Mathematics, vol. 36, no. 1, pp. 99-115. https://doi.org/10.1134/S1055134426010104

APA

Vodop’yanov, S. K., & Sboev, D. A. (2026). Boundary Behavior of -Homeomorphisms Between Metric Measure Spaces. Siberian Advances in Mathematics, 36(1), 99-115. https://doi.org/10.1134/S1055134426010104

Vancouver

Vodop’yanov SK, Sboev DA. Boundary Behavior of -Homeomorphisms Between Metric Measure Spaces. Siberian Advances in Mathematics. 2026 Jun 15;36(1):99-115. doi: 10.1134/S1055134426010104

Author

Vodop’yanov, S. K. ; Sboev, D. A. / Boundary Behavior of -Homeomorphisms Between Metric Measure Spaces. In: Siberian Advances in Mathematics. 2026 ; Vol. 36, No. 1. pp. 99-115.

BibTeX

@article{62484a810f9f4e88be4563bc678a5c7f,
title = "Boundary Behavior of -Homeomorphisms Between Metric Measure Spaces",
abstract = "Abstract: We study boundary behavior of-homeomorphisms between metric measure spaces.",
keywords = "Sobolev space, capacity boundary, capacity of condenser, composition operator, homeomorphism of Reshetnyak class, metric measure space, quasiconformal analysis, метрическое пространство с мерой, пространство Соболева, гомеоморфизм класса Решетняка, квазиконформный анализ, оператор композиции, емкость конденсатора, граница емкости",
author = "Vodop{\textquoteright}yanov, {S. K.} and Sboev, {D. A.}",
note = "Vodop'yanov, S. K. Boundary Behavior of $ \mathscr {Q}_{q,p} $-Homeomorphisms Between Metric Measure Spaces / S. K. Vodop'yanov, D. A. Sboev // Siberian Advances in Mathematics. – 2026. – Vol. 36, No. 1. – P. 99-115. – DOI 10.1134/S1055134426010104. – EDN UFPGNK. The work of the first author was carried out within the framework of the State Task to the Sobolev Institute of Mathematics SB RAS (project no. FWNF-2026-0022). The work of the second author 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 = "2026",
month = jun,
day = "15",
doi = "10.1134/S1055134426010104",
language = "English",
volume = "36",
pages = "99--115",
journal = "Siberian Advances in Mathematics",
issn = "1055-1344",
publisher = "Pleiades Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Boundary Behavior of -Homeomorphisms Between Metric Measure Spaces

AU - Vodop’yanov, S. K.

AU - Sboev, D. A.

N1 - Vodop'yanov, S. K. Boundary Behavior of $ \mathscr {Q}_{q,p} $-Homeomorphisms Between Metric Measure Spaces / S. K. Vodop'yanov, D. A. Sboev // Siberian Advances in Mathematics. – 2026. – Vol. 36, No. 1. – P. 99-115. – DOI 10.1134/S1055134426010104. – EDN UFPGNK. The work of the first author was carried out within the framework of the State Task to the Sobolev Institute of Mathematics SB RAS (project no. FWNF-2026-0022). The work of the second author 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 - 2026/6/15

Y1 - 2026/6/15

N2 - Abstract: We study boundary behavior of-homeomorphisms between metric measure spaces.

AB - Abstract: We study boundary behavior of-homeomorphisms between metric measure spaces.

KW - Sobolev space

KW - capacity boundary

KW - capacity of condenser

KW - composition operator

KW - homeomorphism of Reshetnyak class

KW - metric measure space

KW - quasiconformal analysis

KW - метрическое пространство с мерой

KW - пространство Соболева

KW - гомеоморфизм класса Решетняка

KW - квазиконформный анализ

KW - оператор композиции

KW - емкость конденсатора

KW - граница емкости

UR - https://www.mendeley.com/catalogue/1a8caa52-981b-3cc3-bd10-0295fa466ab4/

UR - https://www.scopus.com/pages/publications/105041819934

UR - https://elibrary.ru/item.asp?id=91603131

U2 - 10.1134/S1055134426010104

DO - 10.1134/S1055134426010104

M3 - Article

VL - 36

SP - 99

EP - 115

JO - Siberian Advances in Mathematics

JF - Siberian Advances in Mathematics

SN - 1055-1344

IS - 1

ER -

ID: 83369442