The Presentation Problem of the Conjugate Cone of the Hardy Space Hp(0 < p≤1)  

作　　者：Jianyong WANG 

机构地区：[1]Department of Mathematics, Changshu Institute of Technology

出　　处：《Chinese Annals of Mathematics,Series B》2013年第4期541-556,共16页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(No.10871141)

摘　　要：The Hardy space Hpis not locally convex if 0 < p < 1, even though its conjugate space(Hp) separates the points of Hp. But then it is locally p-convex, and its conjugate cone(Hp) p is large enough to separate the points of Hp. In this case, the conjugate cone can be used to replace its conjugate space to set up the duality theory in the p-convex analysis. This paper deals with the representation problem of the conjugate cone(Hp) p of Hpfor 0 < p ≤ 1, and obtains the subrepresentation theorem(Hp) p L∞(T, C p).

关 键 词：Locally p-convex space Hardy space Normed conjugate cone Shadowcone Subrepresentation theorem 

分 类 号：O177[理学—数学]