Browsing by Author "James M.Wanjiru"

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    Reproducing Kernel for the Classical Dirichlet Space of the Upper Half Plane
    (2024-08-19) Irene S.Wattanga; James M.Wanjiru; Job O Bonyob
    We 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.