Criteria of convergence for quasiconformal mappings and their generalizations

  • V. I. Ryazanov Ин-т прикл. математики и механики НАН Украины, Донецк

Abstract

We establish necessary and sufficient conditions for the convergence of normalized homeomorphisms of Sobolev class in terms of the Fourier transforms of complex characteristics in the case where the upper bound of dilations is exponentially bounded in measure. This allows us to construct various metrics generating locally uniform convergence of mappings.
Published
25.05.1996
How to Cite
RyazanovV. I. “Criteria of Convergence for Quasiconformal Mappings and Their Generalizations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 48, no. 5, May 1996, pp. 665-74, https://umj.imath.kiev.ua/index.php/umj/article/view/5300.
Section
Research articles