Sevost’yanov, Е. А., Ryazanov, Vladimir
(2011)
Equicontinuity of mean quasiconformal mappings.
Siberian Mathematical Journal, 52 (3).
pp. 524536.
Abstract
We establish the equicontinuity and normality of the families RΦ of ring Q(x)homeomorphisms with integraltype restrictions  Φ(Q(x))dm(x) < ∞ on a domain D ⊂ Rn with n ≥ 2. The resulting conditions on Φ are not only sufficient but also necessary for the equicontinuity and normality
of these families of mappings. We give some applications of these results to the Sobolev classes W1,n loc .
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