%A ?. ?. ???????????
%J ??????????? ???????????? ??????
%T ?????????? ???????????? ? ??????? ??????? ?????????-???????????? ??? Q-???????????
%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.
%N 1
%P 116-126
%V 61
%D 2009
%I ??????????? ???????? ????
%L zu213842