Mathematics – Complex Variables
Scientific paper
2009-10-25
Bull. London Math. Soc. (2011) 43 (2): 267-277
Mathematics
Complex Variables
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.
Prause István
Smirnov Stanislav
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