
Summary: We consider weighted Bergman spaces and radial derivatives on the spaces. We also prove that for each element \(f\) in \(B^{p,r}\), there is a unique \(\widetilde{f}\) in \(B^{p,r}\) such that \(f\) is the radial derivative of \(\widetilde{f}\) and for each \(f \in \mathcal{B}^{r}(i)\), \(f\) is the radial derivative of some element of \(\mathcal{B}^{r}(i)\) if and only if \(\displaystyle \lim_{t \to \infty} f(tz) = 0\) for all \(z \in H\).
weighted Bergman spaces, half-plane, Bergman kernels, \(H^p\)-classes, radial derivatives
weighted Bergman spaces, half-plane, Bergman kernels, \(H^p\)-classes, radial derivatives
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