Lower bounds for the area of the image of a circle

DOI10.13108/2017-9-2-55zbMath1463.30105OpenAlexW2739443002MaRDI QIDQ5136696

Bogdan Klishchuk, Ruslan Radikovich Salimov

Publication date: 27 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa375

zbMATH Keywords

quasiconformal mappings\(p\)-modulus of a family of curves\(p\)-capacity of condenser\(Q\)-homeomorphisms w.r.t \(p\)-modulus

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65)

Related Items (10)

Generalized M. A. Lavrentiev's inequality ⋮ An extremal problem for volume functionals ⋮ On distortions of the transfinite diameter of disk image ⋮ On power-law behavior of some mapping class at infinity ⋮ On the behavior of one class of homeomorphisms at infinity ⋮ On the distortion of the disk image diameter ⋮ On the behavior at infinity of one class of homeomorphisms ⋮ Univalence criteria and quasiconformal extension of a general integral operator ⋮ On Poleckii-type modular inequalities ⋮ A problem of extreme decomposition of the complex plane with free poles

Cites Work

• The equality between \(p\)-capacity and \(p\)-modulus
• Area distortion of quasiconformal mappings
• On conformal dilatation in space
• Infinitesimal geometry of quasiconformal and bi-Lipschitz mappings in the plane
• On the Area Distortion by Quasiconformal Mappings
• The Poletskii and Väisälä inequalities for the mappings with (p, q)-distortion
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