@article{zu214092, volume = {24}, number = {1}, title = {On spatial mappings with integral restrictions on the characteristic}, author = {?. ?. Sevost?yanov}, year = {2012}, pages = {1--17}, journal = {Algebra i analiz}, url = {http://eprints.zu.edu.ua/14092/}, abstract = {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 {\ensuremath{>}} 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.} }