%0 Journal Article
%@ 1027-3190
%A Севостьянов, Є. О.
%D 2009
%F zu2:13842
%I Національна академія наук
%J Український математичний журнал
%N 1
%P 116-126
%T Устранение особенностей и аналоги теоремы Сохоцкого-Вейерштрасса для Q-отображений
%U http://eprints.zu.edu.ua/13842/
%V 61
%X We prove that an open discrete Q-mapping f : D → Rn has a continuous extension to an isolated  boundary point if the function Q x ( ) has finite mean oscillation or logarithmic singularities  of order at most n – 1 at this point. Moreover, the extended mapping is open and discrete and is  a Q-mapping. As a corollary, we obtain an analog of the well-known Sokhotskii–Weierstrass  theorem on Q-mappings. In particular, we prove that an open discrete Q-mapping takes any  value infinitely many times in the neighborhood of an essential singularity, except, possibly, for  a certain set of capacity zero.