Bulletin of the
Korean Mathematical Society BKMS

Wulan and Zhu \cite{WZ} have characterized the weighted Bergman space in the setting of the unit ball of $\mathbf C^n$ in terms of Lipschitz type conditions in three different metrics. In this paper, we study characterizations of the harmonic Bergman space on the upper half-space in $\R$. Furthermore, we extend harmonic analogues in the setting of the unit ball to the full range $0

Keywords: weighted harmonic Bergman spaces, unit ball, upper half-space

MSC numbers: Primary 31B05; Secondary 31B10, 30H20