Author： Smolovaya E.
Publisher： Springer Publishing Company
ISSN： 0041-5995
Source： Ukrainian Mathematical Journal, Vol.62, Iss.5, 2010-11, pp. : 785-793
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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.
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