Foundations of Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings

S. K. Vodopyanov

doi:10.1134/S1064562419010095

Foundations of Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings

S. K. Vodopyanov

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

1 Цитирования (Scopus)

Аннотация

Abstract: A scale of mappings that depends on two real parameters p, q n − 1 ≤ q ≤ p < ∞) and a weight function θ is defined. In the case q = p = n, θ ≡ 1 well-known mappings with bounded distortion are obtained. The mappings of a two-index scale inherit many properties of mappings with bounded distortion. They are used to solve several problems in global analysis and applied problems.

Язык оригинала	английский
Страницы (с-по)	23-27
Число страниц	5
Журнал	Doklady Mathematics
Том	99
Номер выпуска	1
DOI	https://doi.org/10.1134/S1064562419010095
Состояние	Опубликовано - 1 янв 2019

Доступ к документу

10.1134/S1064562419010095

Link to publication in Scopus

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

Цитировать

@article{62649c1366934e1fa077df7b44a9495c,

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

abstract = "Abstract: A scale of mappings that depends on two real parameters p, q n − 1 ≤ q ≤ p < ∞) and a weight function θ is defined. In the case q = p = n, θ ≡ 1 well-known mappings with bounded distortion are obtained. The mappings of a two-index scale inherit many properties of mappings with bounded distortion. They are used to solve several problems in global analysis and applied problems.",

keywords = "REGULARITY",

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

year = "2019",

month = jan,

day = "1",

doi = "10.1134/S1064562419010095",

language = "English",

volume = "99",

pages = "23--27",

journal = "Doklady Mathematics",

issn = "1064-5624",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "1",

}

TY - JOUR

T1 - Foundations of Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings

AU - Vodopyanov, S. K.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - Abstract: A scale of mappings that depends on two real parameters p, q n − 1 ≤ q ≤ p < ∞) and a weight function θ is defined. In the case q = p = n, θ ≡ 1 well-known mappings with bounded distortion are obtained. The mappings of a two-index scale inherit many properties of mappings with bounded distortion. They are used to solve several problems in global analysis and applied problems.

AB - Abstract: A scale of mappings that depends on two real parameters p, q n − 1 ≤ q ≤ p < ∞) and a weight function θ is defined. In the case q = p = n, θ ≡ 1 well-known mappings with bounded distortion are obtained. The mappings of a two-index scale inherit many properties of mappings with bounded distortion. They are used to solve several problems in global analysis and applied problems.

KW - REGULARITY

UR - http://www.scopus.com/inward/record.url?scp=85065867266&partnerID=8YFLogxK

U2 - 10.1134/S1064562419010095

DO - 10.1134/S1064562419010095

M3 - Article

AN - SCOPUS:85065867266

VL - 99

SP - 23

EP - 27

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - 1

ER -