Journal of the Mathematical Society of Japan
- J. Math. Soc. Japan
- Volume 61, Number 1 (2009), 225-235.
Norm estimation of the harmonic Bergman projection on half-spaces
Hyungwoon KOO, Kyesook NAM, and HeungSu YI
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.
Article information
Source
J. Math. Soc. Japan, Volume 61, Number 1 (2009), 225-235.
Dates
First available in Project Euclid: 9 February 2009
Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1234189034
Digital Object Identifier
doi:10.2969/jmsj/06110225
Mathematical Reviews number (MathSciNet)
MR2272877
Zentralblatt MATH identifier
1165.31003
Subjects
Primary: 31B05: Harmonic, subharmonic, superharmonic functions
Secondary: 31B10: Integral representations, integral operators, integral equations methods 30D45: Bloch functions, normal functions, normal families 30D55
Keywords
weighted Bergman kernel harmonic Bergman functions Bergman projection upper half-space
Citation
KOO, Hyungwoon; NAM, Kyesook; YI, HeungSu. Norm estimation of the harmonic Bergman projection on half-spaces. J. Math. Soc. Japan 61 (2009), no. 1, 225--235. doi:10.2969/jmsj/06110225. https://projecteuclid.org/euclid.jmsj/1234189034
