Abstract
The problem of extension of ring Q-homeomorphisms to the boundary between domains in λ(ε)-regular metric spaces is investigated. The conditions imposed on the function Q(x) and the boundaries of domains under which every ring Q-homeomorphism admits a continuous or homeomorphic extension to the boundary are formulated.
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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 12, No. 2, pp. 151–159, April–May, 2015.
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Afanas’eva, E.S., Salimov, R.R. Boundary behavior of mappings in λ(ε)-regular metric spaces. J Math Sci 211, 617–623 (2015). https://doi.org/10.1007/s10958-015-2619-7
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DOI: https://doi.org/10.1007/s10958-015-2619-7