Duality of the no reflexive Bergman space of the upper half plane and composition groups
dc.contributor.author | Omondi, Gori Erick | |
dc.contributor.author | Bonyo, Job | |
dc.contributor.author | Okoth, Isaac | |
dc.date.accessioned | 2021-05-17T09:45:28Z | |
dc.date.available | 2021-05-17T09:45:28Z | |
dc.date.issued | 2019-08 | |
dc.description | Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenya | en_US |
dc.description.abstract | We 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.sponsorship | Maseno University, Kenya. | en_US |
dc.identifier.uri | http://hdl.handle.net/11071/11898 | |
dc.language.iso | en_US | en_US |
dc.publisher | Strathmore University | en_US |
dc.subject | Non-reflexive Bergman space | en_US |
dc.subject | Bloch space | en_US |
dc.subject | Composition semigroup | en_US |
dc.subject | Infinitesimal generator | en_US |
dc.subject | Spectrum | en_US |
dc.title | Duality of the no reflexive Bergman space of the upper half plane and composition groups | en_US |
dc.type | Article | en_US |
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