Bull. Korean Math. Soc. 2013; 50(4): 1277-1288
Printed July 1, 2013
https://doi.org/10.4134/BKMS.2013.50.4.1277
Copyright © The Korean Mathematical Society.
Kyesook Nam
Seoul National University
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
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