Email this article Foundations of Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings
- Authors: Vodopyanov S.K.1,2
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Affiliations:
- Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences
- Novosibirsk State University
- Issue: Vol 99, No 1 (2019)
- Pages: 23-27
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225613
- DOI: https://doi.org/10.1134/S1064562419010095
- ID: 225613
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Abstract
A scale of mappings that depends on two real parameters \(p,q\) (\(n - 1 \leqslant q \leqslant p < \infty \)) and a weight function \(\theta \) is defined. In the case \(q = p = n,\)\(\theta \equiv 1,\) 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.
About the authors
S. K. Vodopyanov
Sobolev Institute of Mathematics, Siberian Branch,Russian Academy of Sciences; Novosibirsk State University
Author for correspondence.
Email: vodopis@math.nsc.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090
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