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초록
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.
키워드
weighted Bergman kernel; harmonic Bergman functions; Bergman projection; upper half-space
- 제목
- Norm estimation of the harmonic Bergman projection on half-spaces
- 저자
- Koo, Hyungwoon; Nam, Kyesook; Yi, HeungSu
- 발행일
- 2009-01
- 유형
- Article
- 권
- 61
- 호
- 1
- 페이지
- 225 ~ 235