most recent 30 from http://mathoverflow.net 2013-05-25T01:40:41Z http://mathoverflow.net/feeds/question/81334 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/81334/a-fact-of-quasiconformal-map Quanting Zhao 2011-11-19T11:42:04Z 2012-10-12T06:22:00Z

<p>We just consider puntured unit disk <code>$\triangle^{*}$</code> in $\mathbb{C}$. $f$ is a bounded quasiconformal map on <code>$\triangle^{*}$</code>. Why $f$ can extend to the origin,becoming quasiconformal map on the whole disk?</p> <p>rk:It is easy to see we only have to show that we can define $f(0)$ such that $f$ is continous.Then quasiconformality of new $f$ follows easily!</p>

http://mathoverflow.net/questions/81334/a-fact-of-quasiconformal-map/108316#108316 Changyu Guo 2012-09-28T06:13:54Z 2012-09-28T06:13:54Z

<p>A simple way is the use the modulus of curve family argument, see Väisälä's book lecture notes on n-dimensional quasiconformal mappings.</p>