Möbius-invariant harmonic function spaces on the unit disc

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buir.contributor.authorKaptanoğlu, Hakkı Turgay
buir.contributor.orcidKaptanoğlu, Hakkı Turgay|0000-0002-8795-4426
dc.citation.epage25en_US
dc.citation.spage1en_US
dc.contributor.authorKaptanoğlu, Hakkı Turgay
dc.contributor.authorÜreyen, A. E.
dc.date.accessioned2022-02-10T12:33:03Z
dc.date.available2022-02-10T12:33:03Z
dc.date.issued2021-12-10
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe investigate and identify Möbius-invariant harmonic function spaces on the unit disc. We derive their fundamental properties and establish connections among various topologies on them. We show that the harmonic Bloch space b∞ is the “maximal” and the Besov space b1 −2 is the minimal invariant complete seminormed space. There is only one invariant semi-Hilbert space andit is the harmonic Dirichlet space b2 −2en_US
dc.identifier.doi10.1007/s10476-021-0110-xen_US
dc.identifier.eissn1588-273X
dc.identifier.issn0133-3852
dc.identifier.urihttp://hdl.handle.net/11693/77237
dc.language.isoEnglishen_US
dc.publisherAkademiai Kiado Rt.en_US
dc.relation.isversionofhttps://doi.org/10.1007/s10476-021-0110-xen_US
dc.source.titleAnalysis Mathematicaen_US
dc.subjectMöbius transformationen_US
dc.subjectMöbius-invariant harmonic function spaceen_US
dc.subjectHarmonic Bergman-Besov spaceen_US
dc.subjectHarmonic Bloch spaceen_US
dc.titleMöbius-invariant harmonic function spaces on the unit discen_US
dc.typeArticleen_US

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