Boundary behavior of ring <em class="EmphasisTypeItalic ">Q</em>-homeomorphisms in metric spaces

  • E. S. Smolovaya

Abstract

We investigate the problem of extension of so-called ring Q-homeomorphisms between domains in metric spaces with measures to the boundary. We establish conditions for the function Q(x) and the boundary of the domain under which any ring Q-homeomorphism admits a continuous or a homeomorphic extension to the boundary. The results are applicable, in particular, to Riemannian manifolds, Löwner spaces, and Carnot and Heisenberg groups.
Published
25.05.2010
How to Cite
SmolovayaE. S. “Boundary Behavior of Ring <em class="EmphasisTypeItalic ">Q</Em&gt;-Homeomorphisms in Metric Spaces”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 5, May 2010, pp. 682–689, https://umj.imath.kiev.ua/index.php/umj/article/view/2898.
Section
Research articles