Basics of the Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings

摘要

We define a scale of mappings that depends on two real parameters p and q, n-1 q p a and a weight function theta. In the case of q = p = n, theta ae1, 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.