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arxiv: 1607.05101 · v1 · pith:XFMIQ7VTnew · submitted 2016-06-28 · 🧮 math.CA

Lower bounds for areas of images of discs

classification 🧮 math.CA
keywords discsareaimageslowerareasarticleboundscomplex
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In this article we consider Q-homeomorphisms with respect to the p-modulus on the complex plane with p>2. It is obtained a lower area estimate for image of discs under such mappings. We solved the extremal problem about minimization of the area functional of images of discs.

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