黃文達2014-10-272014-10-271989-06-??http://rportal.lib.ntnu.edu.tw/handle/20.500.12235/17655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。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.可微分性平面擬保角