Email this article Basics of the Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings
- Authors: Vodopyanov S.K.1,2,3
-
Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Peoples’ Friendship University of Russia
- Issue: Vol 59, No 5 (2018)
- Pages: 805-834
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172026
- DOI: https://doi.org/10.1134/S0037446618050075
- ID: 172026
Cite item
Open Access
Access granted
Subscription Access
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.
About the authors
S. K. Vodopyanov
Sobolev Institute of Mathematics; Novosibirsk State University; Peoples’ Friendship University of Russia
Author for correspondence.
Email: vodopis@math.nsc.ru
Russian Federation, Novosibirsk; Novosibirsk; Moscow
