Reproducing Kernel for the Classical Dirichlet Space of the Upper Half Plane
No Thumbnail Available
Date
2024-08-19
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
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.