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

Authors

  • James M.Wanjiru Multimedia University of Kenya, 15653-00503, Kenya.
  • Job O Bonyo Multimedia University of Kenya, 15653-00503, Kenya.
  • Irene S.Wattanga Multimedia University of Kenya, 15653-00503, Kenya.

Keywords:

classical Dirichlet space, Reproducing kernel, Norm, Growth condition

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.

References

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Published

2022-11-11

How to Cite

James M.Wanjiru, Job O Bonyo, & Irene S.Wattanga. (2022). Reproducing Kernel for the Classical Dirichlet Space of the Upper Half Plane. International Journal of Formal Sciences: Current and Future Research Trends, 15(1), 150–161. Retrieved from https://ijfscfrtjournal.isrra.org/index.php/Formal_Sciences_Journal/article/view/741

Issue

Vol. 15 No. 1 (2022)

Section

Articles

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