Local behavior of Q-homeomorphisms in Loewner spaces

  • R. R. Salimov Ин-т прикл. математики и механики НАН Украины, Донецк

Abstract

We study the problem of the elimination of isolated singularities for so-called Q-homeomorphisms in Loewner spaces. We formulate several conditions for a function Q(x) under which every Q-homeomorphism admits a continuous extension to an isolated singular point. We also consider the problem of the homeomorphicity of the extension obtained. The results are applied to Riemannian manifolds and Carnot groups.
Published
25.10.2008
How to Cite
Salimov, R. R. “Local Behavior of Q-Homeomorphisms in Loewner Spaces”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 10, Oct. 2008, pp. 1378–1388, https://umj.imath.kiev.ua/index.php/umj/article/view/3252.
Section
Research articles