Reproducing Kernels for hardy and Bergman spaces of the upper half plane

dc.contributor.authorBonyo, Job
dc.date.accessioned2021-05-17T10:44:59Z
dc.date.available2021-05-17T10:44:59Z
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.abstractUsing invertible isometries between Hardy and Bergman spaces of the unit disk D and the corresponding spaces of the upper half plane up, we determine explicitly the reproducing kernels for the Hardy and Bergman spaces of up. As a consequence, we obtain the duality relations for the reflexive Hardy and Bergman spaces of the half plane up.en_US
dc.description.sponsorshipMaseno University, Kenya.en_US
dc.identifier.urihttp://hdl.handle.net/11071/11913
dc.language.isoen_USen_US
dc.publisherStrathmore Universityen_US
dc.subjectAnalytic functionsen_US
dc.subjectReproducing kernelen_US
dc.subjectHardy and Bergrnan spacesen_US
dc.subjectBergman projectionen_US
dc.subjectDualityen_US
dc.subjectSzegö projectionen_US
dc.titleReproducing Kernels for hardy and Bergman spaces of the upper half planeen_US
dc.typeArticleen_US
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