The Exceptional Sets for the Differentiability of Plane Quasiconformal Mappings

dc.contributor.author	黃文達	zh_tw
dc.date.accessioned	2014-10-27T15:26:03Z
dc.date.available	2014-10-27T15:26:03Z
dc.date.issued	1989-06-??	zh_TW
dc.description.abstract	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。	zh_tw
dc.description.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.	en_US
dc.identifier	C863B21E-7F51-F845-48A8-7B1D8B283A58	zh_TW
dc.identifier.uri	http://rportal.lib.ntnu.edu.tw/handle/20.500.12235/17655
dc.language	英文	zh_TW
dc.publisher	國立臺灣師範大學研究發展處	zh_tw
dc.publisher	Office of Research and Development	en_US
dc.relation	(34)，295-304	zh_TW
dc.relation.ispartof	師大學報	zh_tw
dc.subject.other	可微分性	zh_tw
dc.subject.other	平面擬保角	zh_tw
dc.title	The Exceptional Sets for the Differentiability of Plane Quasiconformal Mappings	zh-tw
dc.title.alternative	平面擬保角變換可微分性的例外集	zh_tw

Files

Now showing 1 - 1 of 1