Journal of the
Korean Mathematical Society JKMS

On the setting of the upper half-space ${\mathbf H}$ of the Euclidean $n$-space, we show the boundedness of weighted Bergman projection for $1 $b_\alpha^1$.

Keywords: weighted Bergman kernel, harmonic Bergman functions, fractional derivative, upper half-space

MSC numbers: Primary 31B05; Secondary 31B10, 30D45, 30D55