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The Presentation Problem of the Conjugate Cone of the Hardy Space Hp (0 < p ≤ 1)
作者姓名:Jianyong  WANG
作者单位:Department of Mathematics,-Changshu Institute of Technology, Changshu 215500, Jiangsu, China.
基金项目: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  Shadow  cone  Subrepresentation  theorem
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