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3 Result(s)

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  1. No Access

    Article

    Equicontinuity of Families of Map**s with One Normalization Condition

    We study the behavior of a certain class of map**s of a domain in Euclidean space. We prove that this class is equicontinuous both at the interior and boundary points, of the domain provided that it consi...

    E. A. Sevost’yanov, S. A. Skvortsov in Mathematical Notes (2021)

  2. No Access

    Article

    On the Equicontinuity of Families of Map**s in the Case of Variable Domains

    We study the problem of local behavior of maps in the closure of a domain in the Euclidean space. The equicontinuity of families of these map**s is established in the case where the mapped domain is not fixe...

    E. A. Sevost’yanov, S. A. Skvortsov in Ukrainian Mathematical Journal (2019)

  3. No Access

    Article

    On the Convergence of Map**s in Metric Spaces with Direct and Inverse Modulus Conditions

    For map**s in metric spaces satisfying one inequality for the modulus of families of curves, we establish the property of lightness of the limit map**. It is shown that the uniform limit of these map**s ...

    E. A. Sevost’yanov, S. A. Skvortsov in Ukrainian Mathematical Journal (2018)