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Orlicz-Hardy空间与BMO空间之间的鞅变换 被引量：1

Martingale Transforms between Orlicz-Hardy and BMO Spaces
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摘要 以鞅变换为工具,刻画了Orlicz-Hardy鞅空间与BMO空间之间的相互关系.证明了如下结论:对任意上指标有限(等价于满足△_2-条件)的Young函数Φ,鞅f∈H_Φ{P_Φ,Q_Φ}的充分必要条件是,f是BMO∈{BMO_1,BMO_2}中某个鞅g的鞅变换. Using the technique of Burkholder＇s martingale transforms,the relations between ＂predictable＂ martingale Orlicz-Hardy spaces and BMO spaces are investigated.Let Φ be a Young function with finite index,it is proved that a martingale is in HΦ ∈ {PΦ,QΦ} if and only if it is the transform of a martingale from BMO ∈ {BMO1,BMO2}.
作者 庄丹 于林
机构地区 三峡大学理学院
出处 《数学物理学报（A辑）》 CSCD 北大核心 2014年第3期744-754,共11页 Acta Mathematica Scientia
基金 湖北省自然科学基金(2010CDB10807) 湖北省教育厅重点项目(D20101204)资助
关键词 鞅变换 Orlicz-Hardy鞅空间 BMO空间 Martingale transform Orlicz-Hardy space of martingales BMO space
分类号 O211.4 [理学—概率论与数理统计]
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参考文献13

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二级参考文献15

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数学物理学报（A辑）
2014年 第3期

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