relation: http://eprints.zu.edu.ua/13947/
title: On equicontinuity of solutions to the Beltrami  equations
creator: Sevost’yanov, Е. А.
creator: Salіmov, R. R.
creator: Lomaкo, Тatyana
subject: Математичний аналіз
description: 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.
date: 2010
type: Стаття
type: PeerReviewed
format: text
language: uk
identifier: http://eprints.zu.edu.ua/13947/1/lomako_etal.pdf
identifier:   Sevost’yanov, Е. А., Salіmov, R. R., Lomaкo, Тatyana  (2010) On equicontinuity of solutions to the Beltrami equations.  Annals of the University of Bucharest (2).  с. 263-274.      
language: english