To theory of Q-homeomorphisms in metric spaces

R.R. Salimov (Institute of Applied Mathematics and Mechanics of NAS of Ukraine)


We study the problem of continuation on boundary of the so-called Q-homeomorphisms between domains in metric spaces with measures. We obtain conditions for function Q(x) and domain boundary, under which any homeomorphism allows continuous continuation on boundary.


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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991