Reproducing Kernels for hardy and Bergman spaces of the upper half plane
Date
2019-08
Authors
Bonyo, Job
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
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 reflexive Hardy and Bergman spaces of the half plane
up.
Description
Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenya
Keywords
Analytic functions, Reproducing kernel, Hardy and Bergrnan spaces, Bergman projection, Duality, Szegö projection