BOUNDARY CORRESPONDENCE UNDER HARMONIC QUASICONFORMAL HOMEOMORPHISMS OF THE UNIT DISK

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Quasiconformal and harmonic mappings between Jordan domains (2008, background): “and harmonic and if γ and γ1 are rectifiable curves, then f is absolutely continuous (see [ 12 ]o r [6]).”
ON BI-LIPSCHITZ TYPE INEQUALITIES FOR QUASICONFORMAL HARMONIC MAPPINGS (2007, background): “[13] Pavlović, M.: Boundary correspondence under harmonic quasiconformal homeomorphisms of the unit disk.”
Inner estimate and quasiconformal harmonic maps between smooth domains (2006, result): “Since Euclidean and spherical metrics are approximately analytic, our results can be viewed as extensions of the results in [17], [ 22 ], [13], [9] and [12] (mentioned in Subsection 1.2).”
On quasiconformal self-mappings of the unit disk satisfying Poisson’s equation (2011, unknown): “Recent papers [10], [12], [14], [21] and [13] bring much light on the topic of quasiconformal harmonic mappings on the plane.”
Extremal Mappings of Finite Distortion (2005, background): “However a theorem of Pavlovi c [28] states that the Poisson extension of the boundary values go of a quasiconformal mapping is quasiconformal if and only if the map go is bi-Lipschitz.”