Equicontinuity of mappings quasiconformal in the mean

By V. Ryazanov, E. Sevost’yanov. 2010

62 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Geometry and Topology, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/d55d98187980ff864929c5f38ab189e5f753a49e