Toeplitz operators on arveson and dirichlet spaces

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dc.citation.epage33en_US
dc.citation.issueNumber1en_US
dc.citation.spage1en_US
dc.citation.volumeNumber58en_US
dc.contributor.authorAlpay, D.en_US
dc.contributor.authorKaptanoǧlu, H. T.en_US
dc.date.accessioned2016-02-08T10:14:29Z
dc.date.available2016-02-08T10:14:29Z
dc.date.issued2007en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe define Toeplitz operators on all Dirichlet spaces on the unit ball of CN and develop their basic properties. We characterize bounded, compact, and Schatten-class Toeplitz operators with positive symbols in terms of Carleson measures and Berezin transforms. Our results naturally extend those known for weighted Bergman spaces, a special case applies to the Arveson space, and we recover the classical Hardy-space Toeplitz operators in a limiting case; thus we unify the theory of Toeplitz operators on all these spaces. We apply our operators to a characterization of bounded, compact, and Schatten-class weighted composition operators on weighted Bergman spaces of the ball. We lastly investigate some connections between Toeplitz and shift operators. © Birkhäuser Verlag Basel/Switzerland 2007.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T10:14:29Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2007en
dc.identifier.doi10.1007/s00020-007-1493-1en_US
dc.identifier.eissn1420-8989
dc.identifier.issn0378-620X
dc.identifier.urihttp://hdl.handle.net/11693/23477
dc.language.isoEnglishen_US
dc.publisherBirkhaeuser Scienceen_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/s00020-007-1493-1en_US
dc.source.titleIntegral Equations and Operator Theoryen_US
dc.subjectArveson spaceen_US
dc.subjectBerezin transformen_US
dc.subjectBergmanen_US
dc.subjectBergman metricen_US
dc.subjectBergman projectionen_US
dc.subjectBesoven_US
dc.subjectCarleson measureen_US
dc.subjectDirichleten_US
dc.subjectHardyen_US
dc.subjectM - isometryen_US
dc.subjectSchatten - von Neumann idealen_US
dc.subjectToeplitz operatoren_US
dc.subjectUnitary equivalenceen_US
dc.subjectWeak convergenceen_US
dc.subjectWeighted shiften_US
dc.titleToeplitz operators on arveson and dirichlet spacesen_US
dc.typeArticleen_US

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