%0 Journal Article
%A Sevost’yanov, Е. А.
%D 2012
%F zu2:14092
%J Algebra i analiz
%N 1
%P 1-17
%T On spatial mappings with integral restrictions on the characteristic
%U http://eprints.zu.edu.ua/14092/
%V 24
%X For a given domain D � Rn, some families F of mappings f : D ! Rn,  n � 2 are studied; such families are more general than the mappings with bounded  distortion. It is proved that a family is equicontinuous if  R1  �0  d�  �[�−1(�)]  1  n−1  = 1,  where the integral depends on each mapping f 2 F, � is a special function, and  �0 > 0 is fixed. Under similar restrictions, removability results are obtained for  isolated singularities of f. Also, analogs of the well-known Sokhotsky–Weierstrass  and Liouville theorems are proved.