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http://dx.doi.org/10.4134/JKMS.2005.42.5.975

WEIGHTED HARMONIC BERGMAN FUNCTIONS ON HALF-SPACES  

Koo, HYUNGWOON (Department of Mathematics Korea University)
NAM, KYESOOK (Department of Mathematics Hanshin University)
YI, HEUNGSU (Department of Mathematics Kwangwoon University)
Publication Information
Journal of the Korean Mathematical Society / v.42, no.5, 2005 , pp. 975-1002 More about this Journal
Abstract
On the setting of the upper half-space H of the Eu­clidean n-space, we show the boundedness of weighted Bergman projection for 1 < p < $\infty$ and nonorthogonal projections for 1 $\leq$ p < $\infty$ . Using these results, we show that Bergman norm is equiva­ lent to the normal derivative norms on weighted harmonic Bergman spaces. Finally, we find the dual of b$\_{$^{1}$.
Keywords
weighted Bergman kernel; harmonic Bergman functions; fractional derivative; upper half-space;
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Times Cited By Web Of Science : 4  (Related Records In Web of Science)
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