Abstract
On the setting of the upper half-space $\boldsymbol{H}$ of the Euclidean $n$-spaces, we give a sharp norm esitame of the weighted harmonic Bergman projection on $L_\alpha^p$ for $1 < p < \infty$. Also, we obtain the norm estimate of the projection depending on $\alpha > -1$ when p is fixed.
Citation
Hyungwoon KOO. Kyesook NAM. HeungSu YI. "Norm estimation of the harmonic Bergman projection on half-spaces." J. Math. Soc. Japan 61 (1) 225 - 235, January, 2009. https://doi.org/10.2969/jmsj/06110225
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