The Presentation Problem of the Conjugate Cone of the Hardy Space Hp (0 < p ≤ 1) |
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作者姓名: | Jianyong WANG |
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作者单位: | Department of Mathematics,-Changshu Institute of Technology, Changshu 215500, Jiangsu, China. |
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基金项目: | supported by the National Natural Science Foundation of China(No.10871141) |
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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).
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关 键 词: | Locally p-convex space Hardy space Normed conjugate cone Shadow cone Subrepresentation theorem |
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