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 |
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Keywords
- Biharmonic equations
- Harmonic Bergman kernel
- Harmonic Bergman projection
ASJC Scopus subject areas
- Analysis
Cite this
Estimates of the harmonic Bergman kernel on smooth domains. / Kang, Hyeonbae; Koo, Hyung Woon.
In: Journal of Functional Analysis, Vol. 185, No. 1, 10.09.2001, p. 220-239.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Estimates of the harmonic Bergman kernel on smooth domains
AU - Kang, Hyeonbae
AU - Koo, Hyung Woon
PY - 2001/9/10
Y1 - 2001/9/10
N2 - 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.
AB - 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.
KW - Biharmonic equations
KW - Harmonic Bergman kernel
KW - Harmonic Bergman projection
UR - http://www.scopus.com/inward/record.url?scp=0035840457&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0035840457&partnerID=8YFLogxK
U2 - 10.1006/jfan.2001.3761
DO - 10.1006/jfan.2001.3761
M3 - Article
AN - SCOPUS:0035840457
VL - 185
SP - 220
EP - 239
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
SN - 0022-1236
IS - 1
ER -