刘丁酉, 周金海. 鞅空间aΣp及其与aLp的等价[J]. 武汉大学学报 ( 信息科学版), 1989, 14(2): 82-89.
引用本文: 刘丁酉, 周金海. 鞅空间aΣp及其与aLp的等价[J]. 武汉大学学报 ( 信息科学版), 1989, 14(2): 82-89.
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Liu Dingyou, Zhou Jinhai. aΣp Space of Martingales and Its Equivalence Relationship with aLp[J]. Geomatics and Information Science of Wuhan University, 1989, 14(2): 82-89.
Citation: Liu Dingyou, Zhou Jinhai. aΣp Space of Martingales and Its Equivalence Relationship with aLp[J]. Geomatics and Information Science of Wuhan University, 1989, 14(2): 82-89.
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鞅空间aΣp及其与aLp的等价

aΣp Space of Martingales and Its Equivalence Relationship with aLp

    摘要
  • 摘要: 本文推广地定义了一个新的鞅空间aΣp,通过对它的讨论,建立了它与Herz在1中所给鞅空间aLp的等价关系,并将这种讨论扩充到限制增长的Young凸函数场合。此外,还给出了其它平行鞅空间的一些结果。

     

    Abstract: In this paper, a new space of martingales——aΣp is more broadly defined. Itsequivalence relationship with aLp space of martingales mentioned by Herz is establishedand the relationship is extended to the Young's convex function of moderate increments.The paper also gives some more results for other parallel spaces of martingales.

     

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