TY - JOUR
T1 - Estimates of the harmonic Bergman kernel on smooth domains
AU - Kang, Hyeonbae
AU - Koo, Hyungwoon
N1 - Funding Information:
1The first author’s research was partially supported by KOSEF 98-0701-03-01-5 and a grant from SNU and the second author’s research was partially supported by KOSEF 981-0102-009-2. We thank the referee for pointing out the relevance of Lemma 3.1 in [FR] to Theorem 4.2 of this paper. We also thank Professor D. Sarason for helpful suggestions.
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
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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 -