The Exceptional Sets for the Differentiability of Plane Quasiconformal Mappings Author: Wen-Dar Hwang (Department of Mathematics)

Abstract：

We investigate the differentiability of plane quasiconformal mappings and prove that a K-quasiconformal mapping f is differentiable almost everywhere. The ex-ceptional set X(f) for the differentiability is empty if K=l, and it can be enlarged to Hausdorff dimension 2 if K>1.

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