TY  - JOUR
ID  - zu213947
UR  - http://eprints.zu.edu.ua/13947/
IS  - 2
A1  - Sevost?yanov, ?. ?.
A1  - Sal?mov, R. R.
A1  - Loma?o, ?atyana
Y1  - 2010///
N2  - 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.
JF  - Annals of the University of Bucharest
KW  - Beltrami equations
KW  -  equicontinuity
KW  -  normality
KW  - 
lower and ring Q{homeomorphisms.
TI  - On equicontinuity of solutions to the Beltrami
equations
SP  - 263
AV  - public
EP  - 274
ER  -