<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>A refined Agler decomposition and geometric applications</dc:title>
<dc:creator>Greg Knese</dc:creator>
<dc:subject>47A57</dc:subject><dc:subject>32D15</dc:subject><dc:subject>Agler decomposition</dc:subject><dc:subject>bidisk</dc:subject><dc:subject>polydisk</dc:subject><dc:subject>retract</dc:subject><dc:subject>Schwarz lemma</dc:subject>
<dc:description>We prove a refined Agler decomposition for bounded analytic functions on the bidisk and show how it can be used to re-prove an interesting result of Guo et al. related to extending holomorphic functions without increasing their norm. In addition, we give a new treatment of Heath and Suffridge&#39;s characterization of holomorphic retracts on the polydisk.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2011</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2011.60.4512</dc:identifier>
<dc:source>10.1512/iumj.2011.60.4512</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 60 (2011) 1831 - 1842</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>