On the Distortion and Correspondence under Quasiconformal Mappings in Space

DOI10.1017/S0027763000011521zbMath0152.27501MaRDI QIDQ5531823

Kazuo Ikoma

Publication date: 1967

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

zbMATH Keywords

complex functions

Related Items (16)

On local properties of spatial generalized quasi-isometries ⋮ On a Theorem of Schwarz Type for Quasiconformal Mappings in Space ⋮ The lower \(Q\)-homeomorphisms relative to a \(p\)-modulus ⋮ Unnamed Item ⋮ Nonlinear Beltrami equation and asymptotics of its solution ⋮ Functional asymptotics of solutions of the nonlinear Cauchy-Riemann-Beltrami system ⋮ On the local properties of solutions of the nonlinear Beltrami equation ⋮ To a theory of ring \(Q\)-homeomorphisms with respect to a \(p\)-modulus ⋮ Logarithmic asymptotics of a class of mappings ⋮ Analogs of the Ikoma-Schwartz lemma and Liouville theorem for mappings with unbounded characteristic ⋮ Estimation of the measure of the image of the ball ⋮ Asymptotic dilation of regular homeomorphisms ⋮ On the lower estimate of the distortion of distance for one class of mappings ⋮ Logarithmic asymptotics of the nonlinear Cauchy-Riemann-Beltrami equation ⋮ Asymptotic behavior of generalized quasiisometries at a point ⋮ Rotation of plane quasiconformal mappings

Cites Work

• Extremal length and functional completion
• Extremal length definitions for the conformal capacity of rings in space
• On distortions in certain quasiconformal mappings
• A Criterion for a Set and Its Image under Quasiconformal Mapping to be of α(0 < α ≦ 2)-Dimensional Measure Zero

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