It is stated equicontinuity and normality of families FΦ of
the so--called homeomorphisms with finite distortion on conditions that
Kf​(z) has finite mean oscillation, singularities of logarithmic type or
integral constraints of the type ∫Φ(Kf​(z))dxdy<∞
in a domain D\subset{\C}. It is shown that the found conditions on the
function Φ are not only sufficient but also necessary for equicontinuity
and normality of such families of mappings.Comment: 18 page