Basics of the Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings

S. K. Vodopyanov

doi:10.1134/S0037446618050075

Basics of the Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings

S. K. Vodopyanov

Результат исследования: Научные публикации в периодических изданиях › статья

3 Цитирования (Scopus)

Аннотация

We define a scale of mappings that depends on two real parameters p and q, n−1 ≤ q ≤ p < ∞ and a weight function θ. In the case of q = p = n, θ ≡ 1, we obtain the well-known mappings with bounded distortion. Mappings of a two-index scale inherit many properties of mappings with bounded distortion. They are used for solving a few problems of global analysis and applied problems.

Язык оригинала	английский
Страницы (с-по)	805-834
Число страниц	30
Журнал	Siberian Mathematical Journal
Том	59
Номер выпуска	5
DOI	https://doi.org/10.1134/S0037446618050075
Состояние	Опубликовано - 1 сен 2018

Доступ к документу

10.1134/S0037446618050075

Link to publication in Scopus

Fingerprint Подробные сведения о темах исследования «Basics of the Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать

Vodopyanov, S. K. (2018). Basics of the Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings. Siberian Mathematical Journal, 59(5), 805-834. https://doi.org/10.1134/S0037446618050075

@article{9c4163f46b014efeb8530922ed772f98,

title = "Basics of the Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings",

abstract = "We define a scale of mappings that depends on two real parameters p and q, n−1 ≤ q ≤ p < ∞ and a weight function θ. In the case of q = p = n, θ ≡ 1, we obtain the well-known mappings with bounded distortion. Mappings of a two-index scale inherit many properties of mappings with bounded distortion. They are used for solving a few problems of global analysis and applied problems.",

keywords = "capacity estimate, quasiconformal analysis, Sobolev space, theorem on removable singularities",

author = "Vodopyanov, {S. K.}",

year = "2018",

month = sep,

day = "1",

doi = "10.1134/S0037446618050075",

language = "English",

volume = "59",

pages = "805--834",

journal = "Siberian Mathematical Journal",

issn = "0037-4466",

publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",

number = "5",

}

TY - JOUR

T1 - Basics of the Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings

AU - Vodopyanov, S. K.

PY - 2018/9/1

Y1 - 2018/9/1

N2 - We define a scale of mappings that depends on two real parameters p and q, n−1 ≤ q ≤ p < ∞ and a weight function θ. In the case of q = p = n, θ ≡ 1, we obtain the well-known mappings with bounded distortion. Mappings of a two-index scale inherit many properties of mappings with bounded distortion. They are used for solving a few problems of global analysis and applied problems.

AB - We define a scale of mappings that depends on two real parameters p and q, n−1 ≤ q ≤ p < ∞ and a weight function θ. In the case of q = p = n, θ ≡ 1, we obtain the well-known mappings with bounded distortion. Mappings of a two-index scale inherit many properties of mappings with bounded distortion. They are used for solving a few problems of global analysis and applied problems.

KW - capacity estimate

KW - quasiconformal analysis

KW - Sobolev space

KW - theorem on removable singularities

UR - http://www.scopus.com/inward/record.url?scp=85057505463&partnerID=8YFLogxK

U2 - 10.1134/S0037446618050075

DO - 10.1134/S0037446618050075

M3 - Article

VL - 59

SP - 805

EP - 834

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 5

ER -