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, Lowner spaces, and Carnot and Heisenberg groups.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have