The Miniowitz and Vuorinen theorems for the mappings with non-bounded characteristics
Sevost'yanov, Evgeny
Original · EN
The present paper is devoted to the study of classes of mappings with non--bounded characteristics of quasiconformality. It is proved that the normal families of mappings distorting the families of mappings in Rⁿ by special way, have the logarithmic order of growth in the neighborhood of every point. There are proved some sufficient conditions of normality of such mappings f:D→ Rⁿ, n≥ 2, omitting the values of some set Ef with some constraints of the type c(Ef)≥ δ, δ∈ R, where c(·) is the special set function.
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