Abstract
We obtain optimal size estimates of the harmonic Bergman kernel and its derivatives on smooth domains. Based on these estimates we derive mapping properties of the harmonic Bergman projection on Lebesgue spaces and Lipschitz spaces.
| Original language | English |
|---|---|
| Pages (from-to) | 220-239 |
| Number of pages | 20 |
| Journal | Journal of Functional Analysis |
| Volume | 185 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2001 Sep 10 |
Keywords
- Biharmonic equations
- Harmonic Bergman kernel
- Harmonic Bergman projection
ASJC Scopus subject areas
- Analysis
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Cite this
Kang, H., & Koo, H. (2001). Estimates of the harmonic Bergman kernel on smooth domains. Journal of Functional Analysis, 185(1), 220-239. https://doi.org/10.1006/jfan.2001.3761