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 $\uP$.
Reproducing kernel Hardy and Bergman spaces Bergman projection
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 25 Mart 2020 |
Gönderilme Tarihi | 8 Ekim 2019 |
Kabul Tarihi | 13 Şubat 2020 |
Yayımlandığı Sayı | Yıl 2020 Cilt: 3 Sayı: 1 |
The published articles in CAMS are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License..