| Φ-INEQUALITIES AND LAWS OF LARGE NUMBERS OF HARDY MARTINGALETRANSFORMS |
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| 引用本文： | 刘培德,吐尔德别克.Φ-INEQUALITIES AND LAWS OF LARGE NUMBERS OF HARDY MARTINGALETRANSFORMS[J].数学物理学报(B辑英文版),1997(3). |
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| 作者姓名： | 刘培德 吐尔德别克 |
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| 作者单位： | Liu Peide(Dept. of Math. Wuhan University，Wuhan 430071，China)Turdebek N.Bekjan (Dept. of Math.，Xinjiang University，Ulumuqi 830046，China) |
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| 摘 要： | In101,GarlinghasintroducedtheAUMDpropertyofComplexBanachspaceusinginequalityofmartingaletransforms,somefactsshowwhichdiffersfromUMDpropertyofrealBanachspaceintroducedbyBurkholder6].GarlingalsoprovedthatAUMDpropertyimpliessuperreflexivityandARNP.In13],XuprovedHMT.isequivalenttoAMT.thatistheBanachspacesforwhicllHardymartingalesconvergeunconditiollallyarethoseforwhichanalyticmartingalesconvergeunconditionally.Hardymartingalesandanalyticmartingalesformaspecialclassofmartingalesforwh…
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