Positive Toeplitz operators from a harmonic Bergman-Besov space into another

dc.authorscopusid57193278674
dc.contributor.authorDoğan, Ömer Faruk
dc.date.accessioned2023-04-20T08:02:27Z
dc.date.available2023-04-20T08:02:27Z
dc.date.issued2022
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractWe define positive Toeplitz operators between harmonic Bergman-Besov spaces b(alpha)(p) on the unit ball of R-n for the full ranges of parameters 0 < p < infinity, alpha is an element of R. We give characterizations of bounded and compact Toeplitz operators taking one harmonic Bergman-Besov space into another in terms of Carleson and vanishing Carleson measures. We also give characterizations for a positive Toeplitz operator on b(alpha)(2) to be a Schatten class operator S-p in terms of averaging functions and Berezin transforms for 1 <= p < infinity, alpha is an element of R. Our results extend those known for harmonic weighted Bergman spaces.
dc.identifier.doi10.1007/s43037-022-00224-3
dc.identifier.issn2662-2033
dc.identifier.issn1735-8787
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85139406849
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s43037-022-00224-3
dc.identifier.urihttps://hdl.handle.net/20.500.11776/10934
dc.identifier.volume16
dc.identifier.wosWOS:000864135300001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorDoğan, Ömer Faruk
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofBanach Journal of Mathematical Analysis
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectToeplitz Operator
dc.subjectHarmonic Bergman-Besov Space
dc.subjectSchatten Class
dc.subjectCarleson Measure
dc.subjectBerezin Transform
dc.subjectBloch-Spaces
dc.subjectUnit Ball
dc.titlePositive Toeplitz operators from a harmonic Bergman-Besov space into another
dc.typeArticle

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