%A ?. ?. Sevost?yanov
%J Algebra i analiz
%T On spatial mappings with integral restrictions on the characteristic
%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.
%N 1
%P 1-17
%V 24
%D 2012
%L zu214092