Harmonic Besov spaces with small exponents

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dc.contributor.authorDoğan, Ömer Faruk
dc.date.accessioned2024-10-29T17:43:28Z
dc.date.available2024-10-29T17:43:28Z
dc.date.issued2020
dc.departmentTekirdağ Namık Kemal Üniversitesi
dc.description.abstractWe study harmonic Besov spaces (Formula presented.) on the unit ball of (Formula presented.), where 0<p<1 and (Formula presented.). 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 show that the dual of harmonic Besov space (Formula presented.) is weighted Bloch space (Formula presented.) under certain volume integral pairing for 0<p<1 and (Formula presented.). Our other results are about growth at the boundary and atomic decomposition. © 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group.
dc.identifier.doi10.1080/17476933.2019.1652277
dc.identifier.endpage1075
dc.identifier.issn1747-6933
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85070807588
dc.identifier.scopusqualityQ2
dc.identifier.startpage1051
dc.identifier.urihttps://doi.org/10.1080/17476933.2019.1652277
dc.identifier.urihttps://hdl.handle.net/20.500.11776/12408
dc.identifier.volume65
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor and Francis Ltd.
dc.relation.ispartofComplex Variables and Elliptic Equations
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subject31B10
dc.subject42B35
dc.subject46E15
dc.subject46E22
dc.subjectatomic decomposition
dc.subjectboundary growth
dc.subjectduality
dc.subjectH. Hedenmalm
dc.subjectHarmonic Besov space
dc.subjectharmonic Bloch space
dc.subjectPrimary: 31B05
dc.subjectSecondary: 26A33
dc.titleHarmonic Besov spaces with small exponents
dc.typeArticle

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