Extremal problem for the area of the image of a disk

DOI10.1007/s10958-018-4015-6zbMath1404.30029OpenAlexW2888389749MaRDI QIDQ1615075

Bogdan Klishchuk, Ruslan Radikovich Salimov

Publication date: 2 November 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-4015-6

zbMATH Keywords

quasiconformal mapring \(Q\)-homomorphism

Mathematics Subject Classification ID

Geometric function theory (30C99) Quasiconformal mappings in the complex plane (30C62)

Related Items (2)

An extremal problem for volume functionals ⋮ On the asymptotic behavior at infinity of one mapping class

Cites Work

• The equality between \(p\)-capacity and \(p\)-modulus
• Estimation of the measure of the image of the ball
• Infinitesimal geometry of quasiconformal and bi-Lipschitz mappings in the plane
• Lower estimates for $p$-moduli and Sobolev class mappings
• The Poletskii and Väisälä inequalities for the mappings with (p, q)-distortion
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