Norm estimation of the harmonic Bergman projection on half-spaces
Hyungwoon KOO, Kyesook NAM, and HeungSu YI
Source: J. Math. Soc. Japan Volume 61, Number 1
(2009), 225-235.
Abstract
On the setting of the upper half-space $\bm{H}$ of the Euclidean $n$ -spaces, we give a sharp norm estimate of the weighted harmonic Bergman projection on $L^p_\alpha$ for . Also, we obtain the norm estimate of the projection depending on $\alpha>-1$ when $p$ is fixed.
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Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1234189034
Digital Object Identifier: doi:10.2969/jmsj/06110225
Mathematical Reviews number (MathSciNet): MR2272877
Zentralblatt MATH identifier: 05530297
References
H. Koo, K. Nam and H. Yi, Weighted harmonic Bergman kernel on half-spaces, J. Math. Soc. Japan, 58 (2006), 351–362.
Mathematical Reviews (MathSciNet): MR2228563
Zentralblatt MATH: 1102.31004
Digital Object Identifier: doi:10.2969/jmsj/1149166779
Project Euclid: euclid.jmsj/1149166779
H. Koo, K. Nam and H. Yi, Weighted harmonic Bergman functions on half-spaces, J. Korean Math. Soc., 42 (2005), 975–1002.
Mathematical Reviews (MathSciNet): MR2157356
Zentralblatt MATH: 1136.31003
Digital Object Identifier: doi:10.4134/JKMS.2005.42.5.975
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Mathematical Reviews (MathSciNet): MR385023
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Mathematical Reviews (MathSciNet): MR2244014
Zentralblatt MATH: 1105.32006
Journal of the Mathematical Society of Japan
