Reproducing Kernels for Hardy and Bergman Spaces of the Upper Half Plane

Using invertible isometries between Hardy and Bergman spaces of the unit disk $\D$ and the corresponding spaces of the upper half plane $\uP$, we determine explicitly the reproducing kernels for the Hardy and Bergman spaces of $\uP$. As a consequence, we obtain the duality relations for the reflexiv...

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Bibliographic Details
Published in:Communications in Advanced Mathematical Sciences
Main Author: Job Bonyo
Format: Article
Language:English
Published: Emrah Evren KARA 2020-03-01
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/1021092