Foundations of quasiconformal analysis of a two-index scale of spatial mappings

Abstract

We define a scale of mappings that depends on two real parameters p and q , \xa0and a weight function θ. In the case of q = p = n , θ ≡ 1, we obtain the well known mappingswith 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.