Equicontinuity of mappings quasiconformal in the mean

Details Equicontinuity of mappings quasiconformal in the mean Equicontinuity of mappings quasiconformal in the mean

2010-03-05

arxiv.org/abs/1003.1199v4

Mathematics

Complex Variables

16 pages, Lemma 3.1, Lemma 5.1

Scientific paper

It is stated a series of criteria of equicontinuity and normality for classes
of space mappings with integral restrictions. It is shown that the found
conditions are not only sufficient but also necessary. It is given applications
to Sobolev's classes.

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