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. (C) 2001 Academic Press.
机构:
Kyung Hee Univ, Dept Math, Seoul 130701, South Korea
Kyung Hee Univ, Res Inst Basic Sci, Seoul 130701, South KoreaKyung Hee Univ, Dept Math, Seoul 130701, South Korea