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arXiv · 1604.07618

The estimation of the area of a disk image for Sobolev classes

V. Bilet·R. Salimov
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Abstract

For regular homeomorphisms of Sobolev class $W^{1,1}_{\textrm{loc}}$ having the Luzin $N$-property, it is established the estimation of the area of a disk image in terms of an angular dilatation. As a corollary, the analog of the well-known Ikoma-Schwartz lemma for such mappings is obtained.

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V. Bilet, R. Salimov. 2016-04-26. The estimation of the area of a disk image for Sobolev classes. https://arxiv.org/abs/1604.07618

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