Open AccessFoundations of quasiconformal analysis of a two-index scale of spatial mappings
Author(s) -
S. K. Vodop’yanov
Publication year - 2019
Publication title -
doklady akademii nauk. rossijskaâ akademiâ nauk
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-56524842142-146
Subject(s) - bounded function , distortion (music) , scale (ratio) , index (typography) , mathematics , function (biology) , distortion function , mathematical analysis , computer science , algorithm , physics , amplifier , computer network , decoding methods , bandwidth (computing) , quantum mechanics , evolutionary biology , world wide web , biology
We define a scale of mappings that depends on two real parameters p and q, and 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.