<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>Quasiconformal removability and the quasihyperbolic metric</dc:title>
<dc:creator>Pekka Koskela</dc:creator><dc:creator>Tomi Nieminen</dc:creator>
<dc:subject>46E35</dc:subject><dc:subject>30C65</dc:subject><dc:subject>quasiconformal removability</dc:subject><dc:subject>quasihyperbolic metric</dc:subject>
<dc:description>We establish an essentially sharp condition sufficient for the $L^n$-integrability of the quasihyperbolic metric in a domain $\Omega\subset\mathbb{R}^n$. As a corollary, we prove a result concerning (quasi)conformal and $W^{1,n}$-removability of the boundary $\partial\Omega$.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2005</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2005.54.2690</dc:identifier>
<dc:source>10.1512/iumj.2005.54.2690</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 54 (2005) 143 - 152</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>