Schatten class of integration operators on Dirichlet spaces

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dc.contributor.authorPau, Jordi
dc.contributor.authorPeláez Márquez, José Ángel
dc.date.accessioned2016-03-30T08:01:42Z
dc.date.available2016-03-30T08:01:42Z
dc.date.issued2013-08-29
dc.date.updated2016-03-30T08:01:47Z
dc.description.abstractWe address the question of describing the membership to Schatten-Von Neumann ideals $S_p$ of integration operators $(T_{g} f)(z)= \int_0^z f(\zeta)g'(\zeta)d \zeta$ acting on Dirichlet type spaces. We also study this problem for multiplication, Hankel and Toeplitz operators. In particular, we provide an extension of Luecking's result on Toeplitz operators [10, p. 347].
dc.format.extent35 p.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec622269
dc.identifier.issn0021-7670
dc.identifier.urihttps://hdl.handle.net/2445/96742
dc.language.isoeng
dc.publisherSpringer
dc.relation.isformatofVersió postprint del document publicat a: http://dx.doi.org/10.1007/s11854-013-0020-3
dc.relation.ispartofJournal d'Analyse Mathematique, 2013, vol. 120, num. 1, p. 255-289
dc.relation.urihttp://dx.doi.org/10.1007/s11854-013-0020-3
dc.rights(c) Springer, 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.classificationTeoria d'operadors
dc.subject.classificationOperadors lineals
dc.subject.otherFunctions of complex variables
dc.subject.otherAnalytic functions
dc.subject.otherOperator theory
dc.subject.otherLinear operators
dc.titleSchatten class of integration operators on Dirichlet spaces
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion

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