relation: http://eprints.zu.edu.ua/14092/
title: On spatial mappings with integral restrictions on the characteristic
creator: Sevost’yanov, Е. А.
subject: Математичний аналіз
description: 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.
date: 2012
type: Стаття
type: PeerReviewed
format: text
language: uk
identifier: http://eprints.zu.edu.ua/14092/1/St_Petersburg_Math_J_%28accepted%29.pdf
identifier:   Sevost’yanov, Е. А.  (2012) On spatial mappings with integral restrictions on the characteristic.  Algebra i analiz, 24 (1).  с. 1-17.      
language: english