Estimation of the measure of the image of the ball

DOI10.1134/S0037446612040155zbMath1279.30040MaRDI QIDQ1760547

Ruslan Radikovich Salimov

Publication date: 14 November 2012

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

quasiconformal mappingring \(Q\)-homeomorphism\(p\)-capacity\(p\)-modulusmean quasiconformal mapping\(Q\)-homeomorphism

Mathematics Subject Classification ID

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

Related Items (21)

Extremal problem for the area of the image of a disk ⋮ On local properties of spatial generalized quasi-isometries ⋮ On the removal of singularities of the Orlicz-Sobolev classes ⋮ On finite lipschitz Orlicz Sobolev classes ⋮ An extremal problem for volume functionals ⋮ Lower estimates for $p$-moduli and Sobolev class mappings ⋮ Ring \(Q\)-homeomorphisms on Finsler manifolds ⋮ Hölder continuity of homeomorphisms with controlled growth of their spherical means ⋮ On the asymptotic behavior at infinity of one mapping class ⋮ 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 ⋮ On the behavior of Orlicz-Sobolev mappings with branching on the unit sphere ⋮ Regularity of Mappings with Integrally Restricted Moduli ⋮ On the boundary behavior of one class of mappings in metric spaces ⋮ Boundary behavior and equicontinuity for families of mappings in terms of prime ends ⋮ On the lower estimate of the distortion of distance for one class of mappings ⋮ Lower bounds for the volume of the image of a ball ⋮ On the boundary behavior of some classes of mappings

Cites Work

• On ring solutions of Beltrami equations
• A p-extremal length and p-capacity equality
• The equality between \(p\)-capacity and \(p\)-modulus
• Lectures on \(n\)-dimensional quasiconformal mappings
• Moduli in Modern Mapping Theory
• CAPACITY OF CONDENSERS AND SPATIAL MAPPINGS QUASICONFORMAL IN THE MEAN
• Rings and Quasiconformal Mappings in Space
• The theory of shell-based $ Q$-mappings in geometric function theory
• On the Distortion and Correspondence under Quasiconformal Mappings in Space
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