On the existence of angular limits of \(n\)-dimensional quasiconformal mappings

DOI10.1007/BF02384688zbMath0461.30014OpenAlexW1998576790MaRDI QIDQ1152482

Matti Vuorinen

Publication date: 1980

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02384688

zbMATH Keywords

normal familybounded analytic functionscapacity densityangular limitsn-dimensional quasiconformal mappings

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Quasiconformal mappings in the complex plane (30C62)

Related Items (21)

Phragmén-Lindelöf's and Lindelöf's theorems ⋮ Conformal invariants and quasiregular mappings ⋮ Prime ends in the Heisenberg group $\mathbb{H}_{1}$ and the boundary behavior of quasiconformal mappings ⋮ On boundary behavior of mappings with two normalized conditions ⋮ On the convergence of mappings in metric spaces with direct and inverse modulus conditions ⋮ Prime ends and quasiconformal mappings ⋮ On nonhomeomorphic mappings with the inverse Poletsky inequality ⋮ Logarithmic Hölder continuous mappings and Beltrami equation ⋮ UNIQUENESS THEOREMS FOR MAPPINGS OF FINITE DISTORTION ⋮ Multiplicity and boundary behavior of quasiregular maps ⋮ On the local behavior of a class of inverse mappings ⋮ Boundary behavior and equicontinuity for families of mappings in terms of prime ends ⋮ On the global behavior of inverse mappings in terms of prime ends ⋮ Positive results on discreteness and openness for mappings of finite distortion ⋮ On the local and boundary behaviour of inverse maps on Riemannian manifolds ⋮ Boundary behaviour of the mappings satisfying generalized inverse modular inequalities ⋮ Cluster sets and quasiconformal mappings ⋮ Cluster sets theorems on metric measure spaces ⋮ On mappings with the inverse Poletsky inequality on Riemannian manifolds ⋮ The Lindelöf principle and normal functions of several complex variables ⋮ On logarithmic Hölder continuity of mappings on the boundary

Cites Work

• Boundary behaviour and normal meromorphic functions
• Prime ends and quasiconformal mappings
• Metrical characterization of conformal capacity zero
• Extremal length and p-capacity
• Lectures on \(n\)-dimensional quasiconformal mappings
• Capacity Densities and Angular Limits of Quasiregular Mappings
• A remark on domains quasiconformally equivalent to a ball
• Extension of Loewner's Capacity Theorem
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