<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-04-14T02:08:50Z</responseDate><request verb="GetRecord" identifier="oai:www.recercat.cat:2445/34363" metadataPrefix="qdc">https://recercat.cat/oai/request</request><GetRecord><record><header><identifier>oai:recercat.cat:2445/34363</identifier><datestamp>2025-12-05T09:55:43Z</datestamp><setSpec>com_2072_1057</setSpec><setSpec>col_2072_478917</setSpec><setSpec>col_2072_478920</setSpec></header><metadata><qdc:qualifieddc xmlns:qdc="http://dspace.org/qualifieddc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://purl.org/dc/elements/1.1/ http://dublincore.org/schemas/xmls/qdc/2006/01/06/dc.xsd http://purl.org/dc/terms/ http://dublincore.org/schemas/xmls/qdc/2006/01/06/dcterms.xsd http://dspace.org/qualifieddc/ http://www.ukoln.ac.uk/metadata/dcmi/xmlschema/qualifieddc.xsd">
   <dc:title>Some spectral properties of the canonical solution operator to $\bar\partial$ on weighted Fock spaces</dc:title>
   <dc:creator>Constantin, Olivia</dc:creator>
   <dc:creator>Ortega Cerdà, Joaquim</dc:creator>
   <dc:subject>Teoria d'operadors</dc:subject>
   <dc:subject>Anàlisi funcional</dc:subject>
   <dc:subject>Funcions de variables complexes</dc:subject>
   <dc:subject>Operator theory</dc:subject>
   <dc:subject>Functional analysis</dc:subject>
   <dc:subject>Functions of complex variables</dc:subject>
   <dcterms:abstract>We characterize the Schatten class membership of the canonical solution operator to $\overline{\partial}$ acting on $L^2(e^{-2\phi})$, where $\phi$ is a subharmonic function with $\Delta\phi$ a doubling measure. The obtained characterization is in terms of $\Delta\phi$. As part of our approach, we study Hankel operators with anti-analytic symbols acting on the corresponding Fock space of entire functions in $L^2(e^{-2\phi})$</dcterms:abstract>
   <dcterms:issued>2013-03-22T11:50:25Z</dcterms:issued>
   <dcterms:issued>2013-03-22T11:50:25Z</dcterms:issued>
   <dcterms:issued>2011-05-01</dcterms:issued>
   <dcterms:issued>2013-03-22T11:50:25Z</dcterms:issued>
   <dc:type>info:eu-repo/semantics/article</dc:type>
   <dc:type>info:eu-repo/semantics/acceptedVersion</dc:type>
   <dc:relation>Versió postprint del document publicat a: http://dx.doi.org/10.1016/j.jmaa.2010.10.074</dc:relation>
   <dc:relation>Journal of Mathematical Analysis and Applications, 2011, vol. 377, num. 1, p. 353-361</dc:relation>
   <dc:relation>http://dx.doi.org/10.1016/j.jmaa.2010.10.074</dc:relation>
   <dc:rights>(c) Elsevier, 2011</dc:rights>
   <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
   <dc:publisher>Elsevier</dc:publisher>
   <dc:source>Articles publicats en revistes (Matemàtiques i Informàtica)</dc:source>
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