POTENTIAL SPACE ESTIMATES IN LOCAL HARDY SPACES FOR GREEN POTENTIALS IN CONVEX DOMAINS  

作　　者：WangHenggeng JiaHouyu 

机构地区：[1]South-ChinaNormalUniversity,China [2]ZhejiangUniversity,China

出　　处：《Analysis in Theory and Applications》2004年第4期342-349,共8页分析理论与应用（英文刊）

基　　金：SupportedbytheNSFC(No.19971030,10471050)TianyuanFund(No.10426016)theNFCofGuangdong(No.031495).

摘　　要：Let Ω be a bounded convex domain in Rn(n≥3) and G(x,y) be the Green function of the Laplace operator -△on Ω Let hPT(Ω) = {f∈D'(Ω) : (?)F ∈ hP(Rn), s.t. F|Ω = f}, by the atom characterization of Local Hardy spaces in a bounded Lipschitz domain, the bound of f Ω(?)2(Gf) for every f ∈hPr(Ω) is obtained, where n/(n + 1) <p≤1.Let Ω be a bounded convex domain in Rn(n≥3) and G(x,y) be the Green function of the Laplace operator -△on Ω Let hPT(Ω) = {f∈D'(Ω) : (?)F ∈ hP(Rn), s.t. F|Ω = f}, by the atom characterization of Local Hardy spaces in a bounded Lipschitz domain, the bound of f Ω(?)2(Gf) for every f ∈hPr(Ω) is obtained, where n/(n + 1) <p≤1.

关 键 词：local Hardy space Green function convex domain potential estimate 

分 类 号：O174.13[理学—数学]