Doklady Mathematics | 2019
Foundations of Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings
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.