Hankel operators on standard Bergman spaces

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dc.contributor.authorPau, Jordi
dc.date.accessioned2016-03-29T12:40:20Z
dc.date.available2016-03-29T12:40:20Z
dc.date.issued2013
dc.date.updated2016-03-29T12:40:25Z
dc.description.abstractWe study Hankel operators on the standard Bergman spaces $A^{2}_{\alpha}, \alpha > -1$. A description of the boundedness and compactness of the (big) Hankel operator $H_f$ with general symbols $f \in L^2 (\mathbb{D}, d A_\alpha)$ is obtained. Also, we provide a new proof of a result of Arazy-Fisher-Peetre on the membership in Schatten $p$-classes of Hankel operators with conjugate analytic symbols.
dc.format.extent18 p.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec605223
dc.identifier.issn1661-8254
dc.identifier.urihttps://hdl.handle.net/2445/96731
dc.language.isoeng
dc.publisherSpringer Verlag
dc.relation.isformatofVersió postprint del document publicat a: http://dx.doi.org/10.1007/s11785-011-0209-3
dc.relation.ispartofComplex Analysis and Operator Theory, 2013, vol. 7, num. 4, p. 1239-1256
dc.relation.urihttp://dx.doi.org/10.1007/s11785-011-0209-3
dc.rights(c) Birkhäuser Basel, 2013
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationFuncions de variables complexes
dc.subject.classificationFuncions analítiques
dc.subject.classificationOperadors lineals
dc.subject.classificationNuclis de Bergman
dc.subject.otherFunctions of complex variables
dc.subject.otherAnalytic functions
dc.subject.otherLinear operators
dc.subject.otherBergman kernel functions
dc.titleHankel operators on standard Bergman spaces
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion

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