Weighted Harmonic Bloch Spaces on the Ball

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dc.authorid0000-0002-7009-3797
dc.authorid0000-0002-0168-1456
dc.authorscopusid57193278674
dc.authorscopusid15763795500
dc.authorwosiddoğan, ömer faruk/ABG-9226-2020
dc.authorwosidÜreyen, Adem Ersin/ABC-2802-2020
dc.contributor.authorDoğan, Omer Faruk
dc.contributor.authorÜreyen, A. Ersin
dc.date.accessioned2022-05-11T14:31:24Z
dc.date.available2022-05-11T14:31:24Z
dc.date.issued2018
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractWe study the family of weighted harmonic Bloch spaces , on the unit ball of . We provide characterizations in terms of partial and radial derivatives and certain radial differential operators that are more compatible with reproducing kernels of harmonic Bergman-Besov spaces. We consider a class of integral operators related to harmonic Bergman projection and determine precisely when they are bounded on . We define projections from to and as a consequence obtain integral representations. We solve the Gleason problem and provide atomic decomposition for all . Finally we give an oscillatory characterization of when -1.
dc.identifier.doi10.1007/s11785-017-0645-9
dc.identifier.endpage1177
dc.identifier.issn1661-8254
dc.identifier.issn1661-8262
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85012240052
dc.identifier.scopusqualityQ2
dc.identifier.startpage1143
dc.identifier.urihttps://doi.org/10.1007/s11785-017-0645-9
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7435
dc.identifier.volume12
dc.identifier.wosWOS:000432152600001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorDoğan, Omer Faruk
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofComplex Analysis and Operator Theory
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectHarmonic Bloch space
dc.subjectBergman space
dc.subjectReproducing kernel
dc.subjectRadial fractional derivative
dc.subjectBergman projection
dc.subjectDuality
dc.subjectGleason problem
dc.subjectAtomic decomposition
dc.subjectOscillatory characterization
dc.subjectUnit Ball
dc.subjectBesov-Spaces
dc.subjectReproducing Kernels
dc.subjectBergman Projections
dc.subjectLipschitz
dc.titleWeighted Harmonic Bloch Spaces on the Ball
dc.typeArticle

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