Reproducing Kernels for hardy and Bergman spaces of the upper half plane
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.
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- SIMC 2019 [99]