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

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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

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10.1134/S1064562419010095

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

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