Quasisymmetric distortion spectrum

Mathematics – Complex Variables

Scientific paper

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14 pages

Scientific paper

10.1112/blms/bdq098

We give improved bounds for the distortion of the Hausdorff dimension under
quasisymmetric maps in terms of the dilatation of their quasiconformal
extension. The sharpness of the estimates remains an open question and is shown
to be closely related to the fine structure of harmonic measure.

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