| Duals of Hardy Spaces of B-valued Martingales for 0<r≤1 |
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| 作者姓名： | Lin YU |
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| 作者单位： | School of Science, China Three Gorges University, Yichang 443002, P. R. China |
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| 基金项目： | Acknowledgements The author is very grateful to the referee for his/her careful reading and useful comments. In particular, some inaccurate language expressions in the first version of the paper were pointed out by the referee. |
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| 摘 要： | The dual of B-valued martingale Hardy space Hs(p)r(B) with small index 0 r ≤ 1,which is associated with the conditional p-variation of B-valued martingale,is characterized.In order to obtain the results,a new type of Campanato spaces for B-valued martingales is introduced and the classical technique of atomic decompositions is improved.Some results obtained here are connected closely with the p-uniform smoothness and q-uniform convexity of the underlying Banach space.
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| 关 键 词： | 鞅Hardy空间 B值鞅 Campanato空间 Banach空间 原子分解 一致凸性 一致光滑 |
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