Reproducing Kernel for the Classical Dirichlet Space of the Upper Half Plane

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dc.contributor.authorIrene S.Wattanga
dc.contributor.authorJames M.Wanjiru
dc.contributor.authorJob O Bonyob
dc.date.accessioned2024-11-19T08:11:14Z
dc.date.available2024-11-19T08:11:14Z
dc.date.issued2024-08-19
dc.description.abstractWe determine the reproducing kernel for the classical Dirichlet space of the upper half plane, . Consequently, we establish the norm of the reproducing kernel and growth condition for functions in . Moreover, we extend the existing relationship between the reproducing kernels for the classical Dirichlet space and Bergman space of the unit disk to their counterparts of the upper half plane.
dc.identifier.urihttps://erepository.ouk.ac.ke/handle/123456789/1501
dc.titleReproducing Kernel for the Classical Dirichlet Space of the Upper Half Plane
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