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

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Foundations of Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings. / Vodopyanov, S. K.

In: Doklady Mathematics, Vol. 99, No. 1, 01.01.2019, p. 23-27.

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

BibTeX

@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",

}

RIS

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 -

ID: 20181671