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

作     者：Jianyong WANG 

作者机构：Department of Mathematics Changshu Institute of Technology 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2013年第34卷第4期

页      面：541-556页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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

主　　题：Locally p-convex space Hardy space Normed conjugate cone Shadowcone Subrepresentation theorem 

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).