For mappings with branching points satisfying the Poletsky inverse inequality, we obtain some results on their continuous boundary extensions in terms of prime ends. Under certain restriction, the indicated classes of mappings are also equicontinuous in the closure of a given domain.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 7, pp. 951–963, July, 2021. Ukrainian DOI: 10.37863/umzh.v73i7.6507.
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Sevost’yanov, E.A. Boundary Extensions of Mappings Satisfying the Poletsky Inverse Inequality in Terms of Prime Ends. Ukr Math J 73, 1107–1121 (2021). https://doi.org/10.1007/s11253-021-01980-5
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DOI: https://doi.org/10.1007/s11253-021-01980-5