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 -