Siberian Mathematical Journal.
Vol. 59.
2018.
P. 843-859
Basics of the Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings
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. © 2018, Pleiades Publishing, Ltd.
Authors
Vodopyanov S.K.
1,
2,
3
Journal
Number of issue
5
Language
English
Pages
805-834
Status
Published
Link
Volume
59
Year
2018
Organizations
- 1 Sobolev Institute of Mathematics, Novosibirsk, Russian Federation
- 2 Novosibirsk State University, Novosibirsk, Russian Federation
- 3 Peoples’ Friendship University of Russia, Moscow, Russian Federation
Keywords
capacity estimate; quasiconformal analysis; Sobolev space; theorem on removable singularities
Date of creation
04.02.2019
Date of change
04.02.2019
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