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 pα for 1 < p < ∞. Also, we obtain the norm estimate of the projection depending on a < -1 when p is fixed.
| Original language | English |
|---|---|
| Pages (from-to) | 225-235 |
| Number of pages | 11 |
| Journal | Journal of the Mathematical Society of Japan |
| Volume | 61 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2009 Jan |
Keywords
- Bergman projection
- Harmonic Bergman functions
- Upper half-space
- Weighted Bergman kernel
ASJC Scopus subject areas
- Mathematics(all)