Lower bounds for the area of the image of a circle

ะ‘ะพะณะดะฐะฝ ะšะปั–ั‰ัƒะบ, Ruslan Radikovich Salimov ยท Ufimskii Matematicheskii Zhurnal ยท 2017

In the work we consider ๐‘„-homeomorphisms w.r.t ๐‘-modulus on the complex plane as ๐‘ > 2. We obtain a lower bound for the area of the image of a circle under such mappings.We solve the extremal problem on minimizing the functional of the area of the image of a circle.

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