平面擬保角變換可微分性的例外集
作者:黃文達(國立臺灣師範大學數學系)
摘要：
我們主要探討平面上一個擬保角變換的可微分性，首先證明一個K-擬保角變換f幾乎到處可微分。接著討論它的不可微分集X(f)，當k=1時，它是空集合；但當k>1時，它可達到最大可能，其Hausdorff維度可為2。
《詳全文》
Journal directory listing - Volume 31-41 (1986-1996) - Volume 34 (1989)
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.