Duality of the no reflexive Bergman space of the upper half plane and composition groups

dc.contributor.authorOmondi, Gori Erick
dc.contributor.authorBonyo, Job
dc.contributor.authorOkoth, Isaac
dc.date.accessioned2021-05-17T09:45:28Z
dc.date.available2021-05-17T09:45:28Z
dc.date.issued2019-08
dc.descriptionPaper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenyaen_US
dc.description.abstractWe identify the predual of the non-reflexive Bergman space of the upper half plane, with the little Bloch space of the upper half plane consisting of functions vanishing at a point i. We then investigate both the semigroup and spectral properties of the adjoint groups of composition operators which are naturally obtained from the duality pairing and are therefore defined on the identified predual.en_US
dc.description.sponsorshipMaseno University, Kenya.en_US
dc.identifier.urihttp://hdl.handle.net/11071/11898
dc.language.isoen_USen_US
dc.publisherStrathmore Universityen_US
dc.subjectNon-reflexive Bergman spaceen_US
dc.subjectBloch spaceen_US
dc.subjectComposition semigroupen_US
dc.subjectInfinitesimal generatoren_US
dc.subjectSpectrumen_US
dc.titleDuality of the no reflexive Bergman space of the upper half plane and composition groupsen_US
dc.typeArticleen_US
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