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http://dx.doi.org/10.4134/BKMS.2013.50.4.1277

LIPSCHITZ TYPE CHARACTERIZATIONS OF HARMONIC BERGMAN SPACES  

Nam, Kyesook (Department of Mathematical Sciences BK21-Mathematical Sciences Division Seoul National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.4, 2013 , pp. 1277-1288 More about this Journal
Abstract
Wulan and Zhu [16] have characterized the weighted Bergman space in the setting of the unit ball of $C^n$ 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 $R^n$. Furthermore, we extend harmonic analogues in the setting of the unit ball to the full range 0 < p < ${\infty}$. In addition, we provide the application of characterizations to showing the boundedness of a mapping defined by a difference quotient of harmonic function.
Keywords
weighted harmonic Bergman spaces; unit ball; upper half-space;
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Times Cited By KSCI : 2  (Citation Analysis)
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