%0 Journal Article
%A Sevost’yanov, Е. А.
%A Salіmov, R. R.
%A Lomaкo, Тatyana
%D 2010
%F zu2:13947
%J Annals of the University of Bucharest
%K Beltrami equations, equicontinuity, normality,  lower and ring Q{homeomorphisms.
%N 2
%P 263-274
%T On equicontinuity of solutions to the Beltrami  equations
%U http://eprints.zu.edu.ua/13947/
%X It is shown that each homeomorphic W1;1  loc solution to the  Beltrami equation @f = � @f is the so-called ring Q{homeomorphism with  Q(z) = K�(z) where K�(z) is the dilatation quotient of this equation. On  this base, it is stated equicontinuity and normality of families of such solu-  tions under the conditions that K�(z) has a majorant of �nite mean oscil-  lRation, singularities of logarithmic type or integral constraints of the type  �(K�(z)) dx dy < 1 in a domain D � C: The found conditions on the  function � are not only su�cient but also necessary for equicontinuity and  normality of the corresponding families of solutions to the Beltrami equa-  tion.