Browsing by Author "Job O Bonyob"

Now showing 1 - 1 of 1
  • No Thumbnail Available
    Item
    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.