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arxiv: 1003.1199 · v4 · pith:DX5APA4Znew · submitted 2010-03-05 · 🧮 math.CV · math.AP

Equicontinuity of mappings quasiconformal in the mean

classification 🧮 math.CV math.AP
keywords classesequicontinuitymappingsapplicationsconditionscriteriafoundgiven
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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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