Basics of the Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings |
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| Authors: | S K Vodopyanov |
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| Institution: | 1.Sobolev Institute of Mathematics,Novosibirsk,Russia;2.Novosibirsk State University,Novosibirsk,Russia;3.Peoples’ Friendship University of Russia,Moscow,Russia |
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| 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. |
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