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Norm estimation of the harmonic Bergman projection on half-spaces
- Authors
- Koo, Hyungwoon; Nam, Kyesook; Yi, HeungSu
- Issue Date
- 1월-2009
- Publisher
- MATH SOC JAPAN
- Keywords
- weighted Bergman kernel; harmonic Bergman functions; Bergman projection; upper half-space
- Citation
- JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, v.61, no.1, pp.225 - 235
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
- Volume
- 61
- Number
- 1
- Start Page
- 225
- End Page
- 235
- ISSN
- 0025-5645
- Abstract
- On the setting of the upper half-space H of the Euclidean n-spaces, we give a sharp norm estimate of the weighted harmonic Bergman projection on L-alpha(P) for 1 < p < infinity. Also, we obtain the norm estimate of the projection depending on alpha > -1 when p is fixed.
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